Math 100: Differential Calculus with Applications
Section 1C3

Fall Term 2022
Lior Silberman

General Information

This is the page for information specific to section 1C3 of MATH 100; See the Canvas page for course-wide information such as on assessments, course policies, and the like, including the link to the online homework (WeBWorK).

Additional resources


Course Schedule

Ahead of each class you must read the relevant section from a textbook of your choice. For weeks 1-7 the quoted section numbers are for the recommended CLP-1 textbook; corresponding section numbers in a few other textbooks (refs [2,4,5,8] below) may be found in this coordination table. For weeks 1,8,9 there is also reading from the book Differential Calculus for the Life Sciences by Prof. Leah Edelstein-Keshet. For weeks 10,11 the suggested reading is from the book Optimal, Integral, Likely by Belevan et al. Suggested problems for each lecture are from the same book as the suggested reading (CLP and OIL have a separate problem book but it is available at the same link).

Warning: the following information is tentative and subject to change at any time

Week Date Material Reading In-class Suggested practice Notes
0 Video Welcome & Motivation Slides    
1 Th 15/9 Parse trees
Keshet Ch. 1
WS 1, Soln, Scan    
2 Th 22/9 Limits
WS 2, Soln, Scan §1.3 Q1-17
§1.5 Q1-8,13-15,17-19,27
§3.6.1 Q1,4,6
Evalute limits in suggested problems
using asymptotic thinking
3 Th 29/9 Derivatives
Linear approximation
WS 3, Soln, Scan §2.2 Q1-5,9,10,12,18,26
§2.3 Q1-7
§3.4.2 Q1,5
4 Th 6/10 Calculating derivatives §2.4 WS 4, Soln, Scan §2.4 Q7-10,13,15,16  
5 Th 13/10 The Chain Rule
Implicit Differentiation
Logarithmic Differentiation
Inverse Trig
WS 5, Soln, Scan §2.9 Q1-30
§2.10 Q2,4-6,8-19,21-31
§2.11 Q4-15
§2.11 Q6,7,9
6 Th 20/10 Higher degree approximation
Curve sketching
WS 6, Soln, Scan §3.4.4 Q1-3; §3.4.5 Q1,2,5,6,9,10
§3.6.3 Q1-4; §3.6.6 Q1-10
Curve Sketching Notes
7 Th 27/10 Optimization §3.5 WS 7, Soln, Scan §3.5.1 Q1-7
§3.5.2 Q2,4,5
§3.5.2 Q1-15
Related rates/Optimization Advice
8 Th 3/11 Differential Equations Keshet Ch. 11-12 WS 8, Soln, Scan §3.3.1 Q1-5; §3.3.2: Q1,4,9
§3.3.3 Q1-6; §3.3.4: Q1,2,4-8
  Th 10/11 Midsemester break
9 Th 17/11 Numerical Computation:
Euler's Method
Keshet §12.3 WS 9, Soln, Scan Q 12.25, 12.26, 12.27
Assignment 5
Python code
10 Th 24/11 Multivariable sketching
Multivariable differentiation
OIL §§1.1-3
OIL §§2.1-2
WS 10, Soln, Scan §1.1 Q1; §1.2 Q4-5
§2.1 Q1-4; §2.2 1-6
11 Th 1/12 Multivariable optimization OIL §§2.3-5 WS 11, Soln, Scan §2.3 Q1-17 (do not classify critical points)
§2.4 Q1-11,13; §2.5 Q1-19
  F 16/12 Final Exam 15:30pm   Good luck!


  1. Ayers, Schaum's Outline of Theory and Problems of Differential and Integral Calculus.
  2. Boelkins, Austin and Schlicker, Active Calculus.
  3. Feldman, Rechnitzer, and Yaeger, CLP-1 Differential Calculus textbook (see also the associated problem book)
  4. Fowler and Snapp, Mooculus.
  5. Hartman et al, APEX Calculus.
  6. Mendelson, Schaum's Outline of Calculus.
  7. Spiegel and Moyer, Schaum's Outline of College Algebra.
  8. Stewart, Calculus: Early Transcendentals.

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