Math 100: Differential Calculus with Applications
Sections 1A1 & 1A3

Fall Term 2024
Lior Silberman

General Information

This is the page for information specific to sections 1A1 and 1A3 of MATH 100; See the Canvas page for course-wide information (assessments, course policies, and the like) including the link to the online homework (WeBWorK).

Additional resources

Do not contact the instructor by email unless the avenues below have failed
  1. General questions about the course (course material, math questions, questions about the syllabus or course policies — prototypically where other students might benefit from the answer) are best asked on the Piazza discussion forum (your instructor will be active there).
  2. Requests about your personal case (grading issues, exemptions, group issues — prototypically anything which would require knowing your student number) should be made to the course assistant through the Calculus Contact Form.
  3. You can always ask questions during office hours, either of your instructor (see above for times and places) or of any other instructor in the course. If you need to make an appointment contact me by email.
  4. The Calculus Common Room, MATX 1102, is reserved for calculus students 8am-5pm weekdays; most of the time there will be an instructor holding office hours there.
  5. The Math Learning Centre is open Monday through Friday.
  6. Here are some Common Errors in Undergraduate Mathematics. Avoiding these common pitfalls will improve your grade measurably.

Exams

Final

Midterm exams

Course Schedule

Ahead of each class you must read the relevant section from a textbook of your choice. Section numbers refer to the recommended MATH100 textbook; corresponding section numbers in a few other textbooks (refs [2,5,6,10] below) may be found in this coordination table. Suggested problems for each lecture are from the associated Practice Book.

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

Week Date Material Reading Worksheet Document
Camera
Suggested practice Notes
0 Video Welcome & Motivation Slides      
1 W 4/9 Asymptotics Ch. 1 WS 1, Soln 1A1 1A3 Ch. 1 Q1-17,19,21  
2 W 11/9 Limits §2.1 WS 2, Soln
TeX
1A1 1A3 §2.1 Q1,3-11,16-17
§2.1.1 Q1-6,9-11,15,23,27-28,31,38,41,46,49
§2.1.2 Q1-8,13-15,17-19,27
Evaluate limits in suggested problems using asymptotic thinking
Asymptotes
Continuity
§2.2
§2.3
§2.2 Q1-2
§2.3 Q1-6,8,11-14
3 W 18/9 Derivatives
Linear approximation
§§3.3-3.5 WS 3, Soln
TeX
1A1 1A3 §3.3 Q1-5,9,11,13,19-21,26,28,33
§3.4 Q1
§3.5 Q1-6
 
4 W 25/9 Calculating derivatives §4.1 WS 4, Soln
TeX
1A1 1A3 §4.1 Q7-10,13,15,16  
5 W 2/10 The Chain Rule
Logarithmic Differentiation
§4.3
§4.4
WS 5, Soln
TeX
1A1 1A3 §4.3 Q1-30
§4.4 Q2,4-6,8-19,21-31
 
6 W 9/10 Midterm 1
Inverse Trig
 
§§4.6-7
 
WS 6, Soln
 
1A1 1A3
 
§4.7 Q1,4,6,7,9,14,22-26
Midterm 1
 
7 W 16/10 Related Rates Ch. 5 WS 7, Soln
TeX
1A1 1A3 Ch. 5  
8 W 23/10 Curve sketching Ch. 7 WS 8, Soln 1A1 1A3 Ch. 7 Curve Sketching Notes
9 W 30/10 Optimization Ch. 8 WS 9, Soln
TeX
1A1 1A3 §8.1 Q1-7
§8.2 Q2,4,5
§8.3 Q1-15
Related rates/Optimization Advice
10 W 6/11 Taylor expansion §§9.3-5 WS 10, Soln 1A1 1A3 §9.4 Q1-3; §9.5 Q1,2,5,6,9,10 Video version of the lecture (with iPad notes).
  [SC11] Taylor remainder   WS Soln V01 V09   Supplement for small class 11
12 W 20/11 Midterm 2
Newton's Method
 
Ch. 10
 
None
 
1A1 1A3
 
Ch. 10 Q1-9
Midterm 2
 
13 W 27/11 Differential Equations Ch. 11,13 WS 13, Soln 1A1 1A3 Ch. 11 Q1,2,5,6,8,17,18
Ch. 12 Q5,7-10,12-14,19
 
14 W 4/12 Euler's Method Ch. 12 WS 14, Soln 1A1 1A3 Ch. 12 Q1-3,20-23,27 Python code
  17/12 8:30-11:00 Final Exam Good luck!

References

  1. Ayers, Schaum's Outline of Theory and Problems of Differential and Integral Calculus (all editions and versions are fine).
  2. Belevan, Hamidi, Malhotra, and Yaeger, Optimal, Integral, Likely.
  3. Boelkins, Austin and Schlicker, Active Calculus.
  4. Feldman, Rechnitzer, and Yaeger, CLP-1 Differential Calculus textbook (see also the associated problem book)
  5. Fowler and Snapp, Mooculus.
  6. Hartman et al, APEX Calculus.
  7. Keshet, Differential Calculus for the Life Sciences.
  8. Mendelson, Schaum's Outline of Calculus.
  9. Spiegel and Moyer, Schaum's Outline of College Algebra (all editions and versions are fine).
  10. Stewart, Calculus: Early Transcendentals.


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