Mimi's Walk to AUDI — A Tuesday Morning Revision Story
Scene 1 — Waking Up (Mathematics II)
The alarm screamed at 7:15.
Mimi slapped her phone into silence and squinted at the ceiling. Her roommate had already left — early bird type, always at KBT by 7:30 — so she had the room to herself. She rolled over, pulled her notebook from under the pillow (when did she fall asleep on it?), and stared at the Study Plan — Apr 29 to May 15 she'd scribbled out the night before.
Today: FAD1014 P1-P3. Done, actually.
She'd blasted through those three interleaved problems yesterday evening. The first one had been a circle geometry problem — finding the equation of the osculating circle for a curve at a point. She remembered staring at the curvature formula $K = \frac{|y''|}{(1 + (y')^2)^{3/2}}$ and thinking gila, why is this so ugly?. But then the radius just fell out: $R = 1/K$, centre at the normal line, and suddenly the whole thing made sense. The osculating circle wasn't some random construction — it was literally the circle that hugs the curve tightest at that point.
[!tip] Mimi's mental note Curvature $K$ = how fast the tangent turns. Big K = tight bend. Small K = almost straight. The osculating circle radius $R = 1/K$ — so sharp turns mean small circles. Makes sense kan, kalau you corner a car at high speed, the turning circle is gila small.
She'd done a geometry of ellipses problem too — something about finding the foci of $4x^2 + 9y^2 = 36$ — and the third one was trig integration. That one took forever: $\int \sin^3 x \cos^2 x , dx$. She remembered the trick now — save one sin, convert the rest to cos using $\sin^2 x = 1 - \cos^2 x$, then substitute $u = \cos x$. Senang je once you see the pattern.
She scrolled through the FAD1014 Mastery Set on her phone. Fifteen problems, all interleaved across geometry, integration, series, and differential equations. Yesterday she'd knocked out trig integrals and geometry. Tomorrow: power series and differential equations.
She swung her legs off the bed, grabbed her towel. The clock read 7:28. Physics at 9:10 in AUDI — FAD1022, and she still needed breakfast.
"MIMI! Bangun lah, nanti lambat!"
Aina's voice echoed from the corridor downstairs. Of course. That girl was never late.
Scene 2 — Walking to AUDI (Chemistry)
Five minutes later Mimi was outside the dorm, hair still damp, clutching a half-eaten roti canai wrapped in tissue. Aina stood by the pathway, arms crossed, phone in one hand, her PASUM lanyard swinging.
"Aina, wei. Semalam kau tidur pukul berapa?"
"Dua pagi. Tapi siap belajar lah," Aina grinned. "Aku buat FAD1018 P4 — punya susah problem tu. Buffer calculation."
"Aku belum sampai buffer lagi. Esok kut."
"Alright, quick quiz," Aina said, falling into step beside her as they started the walk down the UM campus pathway toward AUDI. "Eh, kalau kau nampak Henderson-Hasselbalch, apa kau buat?"
Mimi rolled her eyes but played along. "Haa, senang je. $\text{pH} = \text{p}K_a + \log \frac{[\text{A}^-]}{[\text{HA}]}$. First kau identify weak acid and its conjugate base lah. Then plug. Eh tapi tu dia — kau kena check dulu, is it a buffer? Maksud aku, kalau weak acid with strong base half-neutralised, yes. Kalau strong acid je, no buffer, direct stoichiometric calculation."
Aina nodded. "And kalau dia add strong acid to the buffer?"
"Then the conjugate base reacts away. So $[\text{A}^-]$ drops, $[\text{HA}]$ increases, pH drops sikit. Unless the buffer capacity exceeded, then pH crash."
"Betul! Okay next one. What's up with Le Chatelier?"
Mimi groaned. "Kau tahu lah, Le Chatelier's Principle — system at equilibrium, bila disturbed, dia shifts to counteract. Macam... tambah reactant, shifts to products. Tambah exothermic reaction punya temperature, shifts back to reactants. Pressure increase, shifts to side with fewer gas moles. Kau punya soalan apa?"
"Reaction quotient question. Given $Q_c$, which way?"
"If $Q < K_c$, reaction goes forward. If $Q > K_c$, reverse. If equal, dah equilibrium." Mimi said around a mouthful of roti canai. "Aina, you're torturing me before breakfast properly."
"Good, you remember. Now — Arrhenius equation."
"$\text{k} = \text{A}e^{-\frac{E_a}{RT}}$," Mimi recited. "Exponential dependence on temperature, activation energy $E_a$ in the exponent. So bila $E_a$ besar, rate constant $k$ drops like crazy. And bila temperature naik sikit je, the rate can jump a lot — because the fraction of molecules with energy above $E_a$ increases exponentially."
"What about the two-point form?"
"$\ln \frac{k_2}{k_1} = -\frac{E_a}{R} \left(\frac{1}{T_2} - \frac{1}{T_1}\right)$. Use that when you have two rate constants at two temperatures. And speaking of rate," Mimi continued, "that reminds me of the P6 problem — the battery one."
"The lead-acid battery!" Aina said. "Electrochemistry pun masuk. Nernst equation: $\text{E} = \text{E}^\circ - \frac{\text{RT}}{\text{nF}} \ln \text{Q}$. At 25 degrees simplify to $\text{E} = \text{E}^\circ - \frac{0.0592}{\text{n}} \log \text{Q}$."
"And Faraday's: $\text{m} = \frac{\text{Q} \times \text{M}}{\text{n} \times \text{F}}$, dimana $Q = I \times t$," Mimi added. "The mass of stuff electroplated depends on current, time, and the number of electrons in the half-reaction."
They walked past the UM library, its glass facade catching the morning sun. Aina nudged her.
"Okay, organic. R/S configuration. Kalau kau nampak a chiral centre, macam mana?"
"Cahn-Ingold-Prelog rules," Mimi said immediately. "Priority by atomic number. Orient the molecule so the lowest priority group — usually hydrogen — points away. Then trace 1→2→3. Clockwise = R, counterclockwise = S."
"And what about the special case? R/S vs d/l?"
"Haa, that's the trap," Mimi said. "R/S is absolute configuration, d/l is optical rotation. They don't map! You can have R-(+)-something and R-(-)-something. The plus/minus hanya experiment can determine."
"Good. Last one — amino acids as zwitterions."
Mimi stopped walking for a second, thinking. "At neutral pH, the amino group is protonated $-\text{NH}_3^+$ and the carboxyl group is deprotonated $-\text{COO}^-$. So net charge is zero but it's a dipolar ion — a zwitterion. The isoelectric point pI is the average of the two pKa values surrounding the neutral species. For neutral amino acids, pI around 5 to 6."
She reached into her bag to grab her notebook and flipped to a page she'd written the night before. She'd been practicing drawing SMILES structures for her chemistry revision — Dr Fauzani had mentioned they might appear in the exam:
CC(=O)Oc1ccccc1C(=O)O
"Tengok ni, aspirin. The ester is acetyl on the phenol, and the carboxylic acid stays free. That's why it's acidic — the -COOH can donate H+."
Aina peered at the notebook. "Ooh, so that's how you remember it. Macam mana structure alanine and glycine?"
Mimi flipped the page:
CC(N)C(=O)O
NCC(=O)O
"Notice glycine — side chain is just H. No chiral centre. Only amino acid that's achiral," Mimi explained. "Alanine has the methyl group, so it's chiral. In nature, it's L-alanine. You can draw the stereochemistry with @ in the SMILES:"
C[C@@H](N)C(=O)O
Aina studied the notation. "So the @@ means counterclockwise?"
"In SMILES, yeah. @ is anticlockwise, @@ is clockwise — but kena hati-hati, it depends on how the bonds are oriented in the string."
They turned onto the final stretch toward AUDI. Mimi's phone buzzed — 8:42. Still got time.
Scene 3 — At the Mamak (Physics)
"Kita singgah mamak dulu kejap," Aina said. "Aku lapar gila."
The mamak stall near AUDI was already buzzing — students grabbing tea and roti telur before morning classes. They found a table near the edge, and Mimi ordered teh tarik kurang manis.
As they waited, Mimi's mind wandered to Physics class. Nik Nur Atiqah had been covering electrostatics all week. Mimi pulled out her phone and stared at a problem screenshot from FAD1022 P1 — the one about smartphone touchscreens.
"Eh Aina," Mimi said. "Kau faham ke how the touchscreen works? It's electrostatics kan."
"It's capacitance!" Aina said. "Capacitance definition: $\text{C} = \frac{\text{Q}}{\Delta\text{V}}$. The screen has a grid of tiny capacitors. Your finger is conductive — bila you touch, you change the local capacitance. The phone detects where the capacitance changed."
"And the parallel plate formula?" Mimi tested.
"$\text{C} = \kappa\varepsilon_0 \frac{\text{A}}{\text{d}}$. So bigger area $A$ → bigger capacitance. Smaller separation $d$ → bigger capacitance. Insert dielectric with $\kappa > 1$ → capacitance multiplies."
"Energy stored?" Aina countered.
"$\text{U} = \frac{1}{2} \text{C} \text{V}^2 = \frac{1}{2} \frac{\text{Q}^2}{\text{C}} = \frac{1}{2} \text{Q} \text{V}$," Mimi fired back. "And if battery is disconnected when you insert the dielectric, charge stays fixed so $V$ drops to $V/\kappa$."
Their drinks arrived. Mimi took a sip and said, "What about Coulomb's law? Kacang lah."
"$\text{F} = \text{k}\frac{\text{q}_1 \text{q}_2}{\text{r}^2}$, where $k = 8.99 \times 10^9 \text{ N m}^2 \text{C}^{-2} \approx \frac{1}{4\pi\varepsilon_0}$," Aina said. "Inverse square. Sama macam gravity, tapi way stronger — like $10^{39}$ times stronger for protons."
Mimi leaned forward suddenly. "Wei, I had an aha moment last night about transformers."
"Share lah."
"In Faraday's law — $\mathcal{E} = -\frac{\text{d}\Phi_B}{\text{d}t}$ — induced EMF is proportional to the rate of change of flux. So in AC, the current keeps changing, which keeps changing the magnetic flux, which keeps inducing EMF. That's why transformers ONLY work with AC. DC would just make a static magnetic field — no change in flux, no induced EMF in the secondary. And Lenz says the induced current opposes the change — that's why transformers aren't perpetual motion machines. The secondary's induced current creates a flux that opposes the primary, so the primary draws MORE current to maintain the flux. Energy conserved."
Aina's eyes lit up. "Oh! So $\frac{V_s}{V_p} = \frac{N_s}{N_p}$ works because the rate of change of flux is the same for both coils — same core, same $\frac{\text{d}\Phi}{\text{d}t}$?"
"EXACTLY! And that's why $\frac{I_s}{I_p} = \frac{N_p}{N_s}$ for ideal transformers — $V_p I_p = V_s I_s$, power in equals power out. Step up the voltage, current must step down."
"Ha, tu dia," Aina grinned. "Now do photoelectric."
"$\text{KE}_{\text{max}} = \text{hf} - \phi$. Photon hits metal surface, kicks out electron. Energy of photon $hf$ gets used — part to overcome work function $\phi$, the rest becomes kinetic energy. But here's the thing: if $f < f_0$ where $f_0 = \phi / h$ — sorry lah, no electrons, tak kira how intense the light. Quantum, baby. Not classical."
"Bohr model?"
"$\text{E}_n = -\frac{13.6}{\text{n}^2} \text{ eV}$ for hydrogen," Mimi said. "Energy levels are quantized. Electron transitions between levels emit or absorb photons with $\Delta\text{E} = \text{hf} = E_i - E_f$. The $13.6$ eV is the ground state binding energy."
Mimi grabbed a napkin and a pen from her bag. "Let me draw something. I've been trying to connect all the physics concepts."
graph TD
subgraph em["Electromagnetism"]
ES["Electrostatics<br/>Coulomb: F = kq1q2/r2"]
CD["Capacitors<br/>C = kappa_epsilon0 A/d"]
MG["Magnetism<br/>RHR, B = mu0 I / 2pi r"]
IT["Inductance<br/>EMF = -L dI/dt"]
end
subgraph md["Modern Physics"]
PE["Photoelectric<br/>KE = hf - phi"]
BM["Bohr Model<br/>En = -13.6/n2 eV"]
NP["Nuclear<br/>E = Delta m c2"]
end
subgraph circuits["Circuits"]
AC["AC Circuits<br/>V = V0 sin omega t"]
RC["RC Circuits<br/>tau = RC"]
end
ES --> CD
ES --> MG
MG --> IT
CD --> RC
IT --> AC
AC --> PE
RC --> AC
PE --> BM
PE --> NP
"Wah, napkin masterpiece," Aina laughed. "But it actually helps — all the equations connecting."
"Right? Electrostatics builds into capacitance structures, magnetism feeds into inductance and transformers, and the circuit stuff connects both. Then modern physics — the photoelectric and Bohr model — is where we leave classical behind."
Scene 4 — Waiting Outside AUDI (Statistics & Advanced Math)
They reached the AUDI steps at 8:55. A few early birds were already clustered near the entrance, but most students would arrive closer to 9. Mimi and Aina claimed a spot on the stone ledge under a tree, enjoying the last few minutes of morning shade.
Aina scrolled through her phone. "Mimi, kau sudah tengok FAD1015 P1?"
"Belum lagi. Math III baru start after Physics kan. But I reviewed some concepts."
"Okay, quick test — hypothesis testing. Bila kau guna Type I and Type II error?"
Mimi set down her teh tarik. "Type I Error = false positive — reject $H_0$ when $H_0$ actually true. Probability is $\alpha$, your significance level. Type II Error = false negative — fail to reject $H_0$ when $H_0$ is false. Probability is $\beta$. And here's the annoying part: decreasing $\alpha$ increases $\beta$ for the same sample size. You can't have both errors kecil unless you increase $n$."
"And how do you interpret the p-value?"
"P-value is the probability of observing your sample result — or something more extreme — IF $H_0$ is true. If p-value $\leq \alpha$, reject $H_0$. If bigger, fail to reject. And jangan say 'the probability that $H_0$ is true' — that's wrong. Dr Hafizul Mat always reminds us that one."
Aina nodded. "Good. Now distributions."
"Bayes': $\text{P}(\text{A}|\text{B}) = \frac{\text{P}(\text{B}|\text{A})\text{P}(\text{A})}{\text{P}(\text{B})}$," Mimi said. "Used when you want to flip the conditional — probability of A given B, but you only know probability of B given A."
"And binomial vs Poisson?"
"Binomial: $\text{P}(\text{X} = \text{k}) = \text{C}(\text{n},\text{k}) \text{p}^\text{k} (1-\text{p})^{\text{n}-\text{k}}$, fixed $n$ trials, each with success probability $p$. Use when counting successes in $n$ independent trials. Poisson: $\text{P}(\text{X} = \text{x}) = \frac{\lambda^\text{x} \text{e}^{-\lambda}}{\text{x}!}$, used for counting events in a fixed interval, mean = $\lambda$. Approximate binomial with Poisson when $n$ is large and $p$ is small — specifically $\lambda = np$."
"And confidence intervals?"
"$\bar{x} \pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$ for known $\sigma$, or $\bar{x} \pm t_{\alpha/2} \frac{s}{\sqrt{n}}$ for unknown $\sigma$, degrees of freedom $n-1$. The interval captures the true population mean with probability $1-\alpha$ — but that's a coverage probability, not 'probability the mean is in the interval.'"
[!warning] Common trap A 95% confidence interval does NOT mean "there's a 95% chance the population mean is in this interval." The mean is fixed — it's either in or it's not. The 95% refers to the procedure: if you repeated the sampling 100 times, about 95 of the intervals would contain the true mean.
Aina stretched her arms. "Okay, one more topic, then we go in. Complex numbers."
Mimi grinned. This was her favourite. "$\text{e}^{\text{i}\theta} = \cos\theta + \text{i}\sin\theta$ — the most beautiful formula in mathematics. Euler's formula connects exponentials with trig. So any complex number: $z = a + bi = r(\cos\theta + i\sin\theta) = re^{i\theta}$, where $r = |z| = \sqrt{a^2 + b^2}$ and $\theta = \arg(z)$."
"And De Moivre?"
"$(\cos\theta + \text{i}\sin\theta)^n = \cos(\text{n}\theta) + \text{i}\sin(\text{n}\theta)$. This is the key to finding n-th roots of complex numbers. And for hyperbolic functions — $\cosh^2 x - \sinh^2 x = 1$, where $\sinh x = \frac{e^x - e^{-x}}{2}$ and $\cosh x = \frac{e^x + e^{-x}}{2}$. Note the minus sign instead of plus — that's the main difference from trig!"
"And hyperbolic identities?" Aina pushed.
"Derivatives: $\frac{d}{dx}\sinh x = \cosh x$, $\frac{d}{dx}\cosh x = \sinh x$, $\frac{d}{dx}\tanh x = \operatorname{sech}^2 x$. Integrals follow nicely too. And the logarithmic forms for inverses — like $\sinh^{-1} x = \ln(x + \sqrt{x^2 + 1})$. They show up in integration when you have forms like $\int \frac{dx}{\sqrt{x^2 + a^2}}$. You can use trig substitution $x = a\tan\theta$ OR hyperbolic $x = a\sinh u$ — same answer, different paths."
Aina whistled. "Okay okay you're ready for FAC1004. Tetiba semangat."
"It's the interleaved practice," Mimi admitted. "When you mix topics — hyperbolics right next to complex numbers, then geometry then integration — your brain has to figure out which technique to use before you even start. That's the skill. Not just knowing the formulas, but knowing when to use them."
Scene 5 — In AUDI, Before Class (Full Circle)
The AUDI doors opened at 9:00 and students filed in. Mimi and Aina found seats in the middle — close enough to see the whiteboard, far enough to whisper if needed (for revision purposes only, Mimi told herself).
Mimi pulled out her phone and scrolled through the Reference Guide she'd built over the past week. A mindmap she'd coded up in Mermaid stared back at her — her "big picture" of all five subjects:
graph TD
subgraph math2["FAD1014 Mathematics II"]
GM["Geometry & Trig<br/>Osculating circle, K=|y''|/(1+y'^2)^3/2"]
IG["Integration<br/>u-sub, trig integrals, by parts"]
PS["Power Series<br/>Taylor: f(x)=Sum f^(n)(a)(x-a)^n/n!"]
DE["Differential Eqs<br/>Separable, 1st-order linear"]
end
subgraph chem["FAD1018 Basic Chemistry II"]
EQ["Chemical Equilibrium<br/>Kc, Le Chatelier, Q vs K"]
IE["Ionic Equilibria<br/>pH=pKa+log(A-/HA), buffers"]
ET["Electrochemistry<br/>Nernst, Faraday, galvanic cells"]
KC["Kinetic Chemistry<br/>k=Ae^(-Ea/RT), rate laws"]
ST["Stereochemistry<br/>R/S CIP rules, enantiomers"]
AA["Amines & Amino Acids<br/>Zwitterions, pI, peptide bonds"]
end
subgraph phys["FAD1022 Basic Physics II"]
ES2["Electrostatics<br/>F=kq1q2/r2, E=F/q"]
CD2["Capacitors<br/>C=kappa_epsilon0 A/d, U=1/2CV2"]
AC2["AC Circuits<br/>V=V0 sin omega t, reactance"]
IT2["Inductance<br/>EMF=-L dI/dt, transformers"]
PE2["Modern Physics<br/>KE=hf-phi, En=-13.6/n2"]
end
subgraph adv["FAC1004 Advanced Mathematics II"]
CN["Complex Numbers<br/>e^(i theta)=cos+isin, De Moivre"]
HF["Hyperbolic Functions<br/>cosh2 - sinh2 = 1"]
IHF["Inverse Hyperbolics<br/>sinh-1 x = ln(x+sqrt(x2+1))"]
end
subgraph stat["FAD1015 Mathematics III"]
PB["Probability<br/>Bayes: P(A|B)=P(B|A)P(A)/P(B)"]
BD["Distributions<br/>Binomial, Poisson, Normal"]
HT["Hypothesis Testing<br/>Type I(alpha), Type II(beta), p-values"]
CI2["Confidence Intervals<br/>x-bar +- z*sigma/sqrt(n)"]
end
GM --> CN
IG --> PS
IG --> DE
EQ --> IE
ET --> EQ
ES2 --> CD2
CD2 --> AC2
AC2 --> IT2
ES2 --> GM
CN --> HF
HF --> IHF
PB --> BD
BD --> HT
HT --> CI2
She zoomed in, tracing the connections with her finger. The lines between topics weren't just decorative — they represented real conceptual bridges. Electrostatics and Coulomb's law? The $1/r^2$ drop-off shows up in geometry when you're working with inverse-square relationships. Complex numbers and hyperbolic functions? They're linked through Euler's formula — $e^{i\theta}$ for trig, $e^x$ for hyperbolics. Even probability distributions and hypothesis testing — the normal distribution's symmetry properties ($P(Z < -z) = P(Z > z)$) are exactly what you use to build confidence intervals.
The audacity of it hit her: all these subjects, five different course codes, five different lecturers — and they're not separate islands. They're bridges.
She thought of Dr Ahmad Syafadhli's Math II lectures — he always said to "see the big picture." En Hisham Safuan's power series lectures. Mahfuzah Yusoff explaining electrochemistry cell notation with those careful diagrams. Amirul Hakimi Baderus on Faraday's law — his voice rising when he got to Lenz's law, because that's the part that really makes induction click. And of course, Dr Fauzani Md Salleh on buffers — "the Henderson-Hasselbalch equation is your best friend in the exam hall."
The interleaved approach had worked. When she'd solved problems from all five mastery sets — FAD1014, FAD1018, FAD1022, FAC1004, FAD1015 — something shifted. Her brain stopped compartmentalizing. A physics capacitance problem would remind her of geometric area calculations. A chemistry rate law would echo the differential equations from Math II. Statistics' normal distribution felt like a sibling to the Gaussian integrals from Advanced Math.
"Earth to Mimi," Aina said, waving a hand. "Kau okay?"
Mimi blinked. "Yeah. Just... I think I'm actually ready."
"For Physics?"
"For all of it."
Aina raised an eyebrow but didn't argue. She could see it too — Mimi had that look. The look of someone who'd done the work, connected the dots, and stopped panicking.
The AUDI lights dimmed slightly. At the front, the door opened and Dr Fauzani walked in — not for Chemistry today, but likely coordinating the morning session. Students shuffled papers, laptops opened. Aina pulled out her physics notebook.
Mimi closed the mindmap on her phone, took one last deep breath, and opened her notebook to a fresh page. At the top she wrote:
Tuesday, 29 April — FAD1022 Basic Physics II
and underneath:
Electrostatics → Capacitance → Magnetism → Induction → Light
She was ready.
— End of Mimi's Tuesday Morning, 8:15 AM to 9:10 AM, 29 April 2026