| Week | Monday | Wednesday | Friday |
|---|---|---|---|
| 1 (Sept 16-20) | Introduction | Parametric Equations (1.7), Tangent (2.1) Homework (due Sept 27): (1.7) 6, 12, 18, 22, 40 |
Tangent (2.1), Limit (2.2), Evaluation (2.3, Up to example 4) Homework (due Sept 27): (2.1) 1, 8 (2.2) 6, 14, 24, (2.3) 1, 4, 8, 10 |
| 2 (Sept 23-27) | Calculating Limits (2.3) Homework (due Sept 27): (2.3) 14, 19, 21, 22, 24,30, 32, 35, 36, 37, 38, 39 |
Continuity (2.4 up to page 118) Homework (due Oct 4): (2.4) 4, 8, 10abd, 17, 22, 33, 34, 37bc |
Lecture on straight lines and physics, Student Activity |
| 3 (Sept 30-Oct 4) | Continuity (2.4), Limits at Infinity (2.5) Homework (due Oct 4): (2.4) 22, 44 (2.5) 4, 9, 10, 15, 18, 20, 22, 24, 26, 28, 29, 32, 33, 34, 36, 48 |
Class cancelled | Lecture on quadratic equations and applications in Engineering, Student Activity |
| 4 (Oct 7-11) | Derivatives and Rates of Change (2.6), Derivative as a Function (2.7, up
to Example 6) Homework (due Oct 11): (2.6) 11, 14, 16, 18, 22, 27, 30, 36, 38, 44, 46 (2.7) 4, 8, 20, 24, 26 |
Higher derivatives (2.7), Relation between f and f' (2.8), Power Rule (3.1) Homework (due Oct 18): (2.7) 10, 33, 36, 44 (2.8) 6, 19, 20, 24 (3.1) 6, 8, 13 |
Basic derivatives, e (3.1), Product Rule (3.2) Homework (due Oct 18): (3.1) 14, 16, 18, 20, 24, 30, 49, 62, 68 (3.2) 4, 10 |
| 5 (Oct 14-18) | Quotient Rule (3.2), Derivatives of sin x and cos x (3.3) Homework (due Oct 18): (3.2) 6, 18, 20, 27, 30, 42, 46, 49, 52 (3.3) 4, 18, 27, 32 |
Derivatives of Trigonometric Functions (3.3), Chain Rule (3.4) Homework (due Oct 25): (3.3) 6, 12, 13, 16, 20, 30, 38 (3.4) 8, 12, 16, 18, 21, 22, 26, 28, 32, 34, 36, 39, 43, 54, 56, 64, 68, 71, 76 |
Lecture on Trigonometry |
| 6 (Oct 21-25) | Test 1 | Tangent to Parametric Equations (3.4), Implicit Differentiatiom (3.5) Homework (due Nov 1): (3.4) 81, 82, 91, 93 (3.5) 3, 6, 8, 12, 16, 17, 24, 28, 36, 47, 56 |
Lecture on Trigonometry |
| 7 (Oct 28-Nov 1) | Derivatives of Inverse Trigonometric Functions, Logarithmic Functions
(3.6, 3.7) Homework (due Nov 1): (3.6) 1, 4, 7, 11, 18, 20, 22, 24, 28, 33, 34, 40 (3.7) 4, 5, 8, 14, 18, 24, 25, 31, 36, 40, 42, 44 |
Linear Approximations and Differentials (3.9) Homework (due Nov 8): (3.9) 5, 8, 12, 15, 18, 21, 22, 24, 25, 28, 30 |
Lecture on Vectors |
| 8 (Nov 4-8) | Related Rates (4.1) Homework (due Nov 8): (4.1) 4, 12, 14, 16, 23, 25, 32, 34, 35 |
Maximum and Minimum values (4.2) Homework (due Nov 15): (4.2) 6, 8, 12, 27, 28, 32, 38, 44, 48, 52, 62 |
Lecture on Vectors |
| 9 (Nov 11-15) | Holiday | Derivatives and the Shapes of Curves (4.3) Homework (due Nov 20): (4.3) 1, 2, 6, 8, 12, 20, 26, 30, 38, 50, 56, 64 |
Optimization Problems (4.6), L'Hospital's Rule (4.5) Homework (due Nov 20): (4.6) 5, 8, 11, 18, 24, 27, 35, 40, 54 |
| 10 (Nov 18-22) | Test 2 | L'Hospital's Rule (4.5), Newton's Method (4.7) Homework: (4.5) 1, 2, 3, 4, 7, 9, 13, 15, 25, 29, 35, 41, 45, 65 (4.7) 1, 5, 7, 11, 25 |
Antiderivatives (4.8) Homework: (4.8) 5, 9, 12, 27, 33, 34, 45 |