MATH 100:701 Differential Calculus (Vantage College)
News
 The final exam is comprehensive
Here is a practice exam from last year, and its solution
This year's final exam may differ significantly from last year's.
 There is an additional office hour on Wednesday, December 11, 911 in MATH 228
 All solutions are now available
 Homework 10 and Solution 9 are online
 The notes for Week 11, Homework 9 and Solution 8 are all available below
 Solution 7 in online
 Quiz 2 is taking place during the recitation on Friday, November 15
The material for the quiz is differentiability, including the various rules of differentiation and implicit differentiation. The Mean Value Theorem and later topics are not covered
 A short Homework 8 is posted
 Homework 7 is online
 Here is the solution of the midterm exam
 Solution 6 is online
 There will be no homework assignement appearing this week and due on November 1
You are strongly encouraged to use the time read CLP1 Sections 2.12.8
 Solution 5 and Homework 6 are online
 A practice midetrm can be downloaded here
 The midterm on Wednesday, October 23, is taking place in class during the usual lecture time
It covers all the material up to (and including) continuity
 Solution 4 is available
 Homework 5 is online
 A detailed example of the bisection method can be found in Example 1.6.15 of CLP1
 Homework 4 and Solution 3 are online
 The midterm and the second quiz have been moved back by one week. The midterm will take place on October 23 and the second quiz on November 15
 The solution key for Homework 2 is available below.
 Quiz 1 is taking place during your recitation on Monday, September 30
The material for the quiz is (a) limits of functions and (b) sequences. Series is not covered
 Notes for Week 4 are posted below
 Instructions to access the solution to Homework 1, linked below, can be found through Canvas > Announcements
 Homework 2 is available
 The first homework assignment is available, see below. The online part accessible throught Canvas > WebWork link opens on Friday at 9
 You should now all be seeing the course in Canvas
 Additional reading and many practice problems in the CLP textbooks
 Welcome to the new term!
Basic Information
 Full Syllabus
 Lecture and discussions:
 Lecture: W 1112 in AERL 120
 Discussions: MF 910 in ORCH 4018, V1B. MF 910 in GEOG 214, V1C. MF 23 in MATH 104, V1D. MF 23 in MATH 202
 Instructor: Sven Bachmann
 Contact: sbach@math.ubc.ca, office hours: Wednesdays 1:30pm2:30pm
 Graduate TAs: Lydia Chen, Sarai Hernandez Torres and Mingfeng Qiu, office hours: Mondays 56 in LSK 300
 Undergraduate TAs: Fengpeng (Patrick) Huang, Ziyao Zhou, Ella Chan, Lingtong (Tony) Xu
 To Canvas
Lecture notes
 We will follow these and these online notes, up to some reordering.
Homework Assignments
Sheet Number 
Due Date 
Solution 
Homework 1 
September 20, 2019 
Solution 1 
Homework 2 
September 27, 2019 
Solution 2 
Homework 3 
October 04, 2019 
Solution 3 
Homework 4 
October 11, 2019 
Solution 4 
Homework 5 
October 18, 2019 
Solution 5 
Homework 6 
October 25, 2019 
Solution 6 
Homework 7 
November 8, 2019 
Solution 7 
Homework 8 
November 15, 2019 
Solution 8 
Homework 9 
November 22, 2019 
Solution 9 
Homework 10 
November 29, 2019 
Solution 10 
Weekly lecture summaries
Week 13 
Final comments on extrema. L'Hospital's rule. CLP1, Sections 3.7 Notes 
Week 12 
Optimization and sketching functions. Critical points, singular points and inflection points. Increasing and decreasing functions; convex and concave functions. CLP1, Sections 3.5, 3.6 Notes 
Week 11 
Local and global extrema. Critical points; Discussion; The second derivative criterion; Examples. CLP1, Section 3.5. Notes 
Week 10 
More on implicit differentiation. The Mean Value Theorem and Rolle's Theorem. Discussion, elementary example and applications; Uniqueness of solutions. CLP1, Section 2.13 Notes 
Week 9 
Recap of differentiation. The chain rule; Examples; Implicit differentiation; Derivatives of the logarithms and the exponentials. CLP1, Sections 2.92.11. Notes 
Week 8 
Midterm exam and discussion of the solutions. The exponential function, the logarithm, trigonometric functions and their derivatives. CLP1, Sections 2.72.8 
Week 7 
Differentiability. Definition and first examples; linearity, the product and the quotient rules. CLP1, Section 2.12.6. Notes 
Week 6 
Continuity. Definition and discussion; rules; the intermediate value theorem; the bisection method. CLP1, Section 1.6. Notes 
Week 5 
More on series. The limit comparison test, the ratio test and alternating series test; absolute and conditional convergence. CLP2, Sections 3.3.33.3.6. (We have not convered the 'integral test') Notes 
Week 4 
Series. Motivation through decimal expansion; Definition; The divergence test; Geometric series, the harmonic series, the pseries; telescopic series; The comparison and limit comparison tests. CLP2, Sections 3.2., 3.3.1, 3.3.3. Notes 
Week 3 
Limits at infinity. Definition; basic examples; Sequences and their limits; The bounded monotone convergence theorem. CLP1, Section 1.5 and CLP2, Section 3.1. Notes 
Week 2 
Limits of realvalued functions. Definition; basic examples; Arithmetics of limits; Left and right limits; Infinite limits; The squeeze theorem. CLP1, Sections 1.11.4, 1.7. Notes 
Week 1 
Introduction. Basics of mathematical notations; Functions. CLP1, Chapter 0 
