MATH 100:701 Differential Calculus (Vantage College)
News
- Solution 10 is online.
- The final examination is comprehensive. It is taking place on December 04, 08:30 - 11:00 in ESB 1013
- There will be an additional office hour on Monday, December 03, 10:00 -11:50 in MATX 1102
- More resources to prepare for the final: A wiki with past exams, maintained by graduate students.
- Homework 10 (the last one!) and Solution 9 are online.
- The solutions to the midterms have been made available here and here
- Homework 9 and Solution 8 are online
- Homework 8 and Solution 7 are online
- To enter the number π in WebWork, just type "pi", see here
- Homework 7 is online, and so are Solutions 5 and 6
- A summary of the elementary rules of differentiation
- Solution 4 is online.
- There is no assignment due on Friday, Oct 19. Assignment 5 is due Oct 26.
- Additional pre-midterm office hour on Friday, Oct 12 12:30 -13:30 in Math 228.
- Due to late posting of Homework 4, you will be marked only on Problem 1 this week. You are encouraged to try Problem 2.
- Homework 4 and Solution 3 are online.
- Here is a summary of the various tests for the convergence of series that we have seen.
- The WeBWorK assignement is available through Canvas. The other entries you may see in Canvas are just empty placeholders.
- Homework 3 and Solution 2 available.
- Homework 2 is available, see below. Solution 1 is password protected.
- Homework 1 is available, see below.
- Welcome to the new term!
Basic Information
Lecture notes
Homework Assignments
Sheet Number |
Due Date |
Solution |
Homework 10 |
November 30, 2018 |
Solution 10 |
Homework 9 |
November 23, 2018 |
Solution 9 |
Homework 8 |
November 16, 2018 |
Solution 8 |
Homework 7 |
November 9, 2018 |
Solution 7 |
Homework 6 |
November 2, 2018 |
Solution 6 |
Homework 5 |
October 26, 2018 |
Solution 5 |
Homework 4 |
October 12, 2018 |
Solution 4 |
Homework 3 |
October 05, 2018 |
Solution 3 |
Homework 2 |
September 28, 2018 |
Solution 2 |
Homework 1 |
September 21, 2018 |
Solution 1 |
Weekly lecture summaries
Week 13 |
A few words on optimisation. Concluding remarks. Review of material. |
Week 12 |
More on local extrema. Convex and concave functions. Inflection points. Curve sketching. L'Hospital rule. |
Week 11 |
Local and global minima and maxima. Critical points. Increasing and decreasing functions. |
Week 10 |
The exponential function, the logarithm and trigonometric functions. Their derivatives. |
Week 9 |
The chain rule. Motivation and examples. Implicit differentiation. Related rates. |
Week 8 |
Differentiability. Motivation and definition. First examples. Rules: linearity, the product and quotient rules. |
Week 7 |
Midterm I. Review, exam and discussion. |
Week 6 |
Continuity. Definition. The Intermediate Value Theorem and existence of solutions. |
Week 5 |
More on series. The ratio test. The alternating series test. Absolute and conditional convergence. |
Week 4 |
Series. Definition and first examples. The geometric and harmonic series. The divergence test. The comparison tests. |
Week 3 |
Limits at infinity. Sequences. Definition and convergence. Examples. The bounded monotone convergence theorem. |
Week 2 |
Limits of functions. Definition and elementary examples. Infinite limits, non-existence of limits. Left and right limits. |
Week 1 |
Introduction. Review of notations, sets, number sets, and functions. |
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