Homework and Quizzes: | 20% |
Midterm Exam I: | 20% |
Midterm Exam II: | 20% |
Final Exam: | 40% |
09/09/2002: | Meeting for both standard and accelerated track. Please have your self-assessment questionnaire completed - it's the last page of the Engineering & Science Mathematics Preparation Pack. |
11/09/2002: | Review of elementary concepts (mainly from Chapter 1). |
16/09/2002: | Limits (Sections 2.2 and 2.3) |
18/09/2002: | Continuity (Section 2.4); Introduction to the derivative |
23/09/2002: | The derivative: Introduction and elementary differentiation rules (Sections 3.1 and 3.2) |
25/09/2002: | Lecture today in the Research 4 Seminar Room; Chain rule (Section 3.3); Derivatives of algebraic functions (Section 3.4), exponential functions and logarithms (Section 7.1) |
30/09/2002: | Minimax Problems (Sections 3.5 and 3.6) |
02/10/2002: | Implicit differentiation (Section 3.8), Increments, differentials, linear approximation and error estimation (Section 4.2) |
07/10/2002: | Curve sketching (Sections 4.3-4.6) |
09/10/2002: | Midterm I, for topics see the review sheet |
14/10/2002: | Introduction to Integration (Sections 5.1-5.4) |
16/10/2002: | Fundamental Theorem of Calculus, substitution (Sections 5.5-5.7) |
21/10/2002: | Techniques of integration I (Sections 9.1-9.3) |
23/10/2002: | Techniques of integration II (Sections 9.4 and 9.5) |
28/10/2002: | Techniques of integration III; Improper Integrals (Sections 9.6-9.8) |
30/10/2002: | Techniques of integration IV: Review and introduction to applications |
04/11/2002: | Applications of Integrals I: Volumes of solids of revolution (Sections 6.1-6.3) |
06/11/2002: | Review for Midterm II |
11/11/2002: | Midterm II, for topics see the review sheet |
13/11/2002: | Applications of Integrals II: Arclength and surface area of revolution (Section 6.3) |
18/11/2002: | Ordinary Differential Equations I: Separable differential equations (Section 6.5) |
20/11/2002: | Ordinary Differential Equations II: Force and work, natural growth and decay (Sections 6.6, 7.5) |
25/11/2002: | Ordinary Differential Equations III: Bounded growth (Section 9.5); Infinite Sequences (Section 11.2) |
27/11/2002: | Infinite series, Taylor series (Section 11.3 and selected topics from Section 11.4; Taylor Series and Power series will be discussed in more depth in ESM II) |
02/12/2002: | Convergence tests (selected topics from Sections 11.5-11.7) |
04/12/2002: | Vectors in 2 and 3 dimenstions; cross product (Sections 12.1-12.3) |
09/12/2002: | Lines and planes in space (Section 12.4) |
11/12/2002: | Review for final exam |
21/12/2002: |
Final Exam, Saturday, December 21, 18:30--20:30 in Sports
Hall I. For topics see the review sheet |