Math 1540 Calculus I
Daily Schedule

Fall 2009

Dr. Bob Brown

Rates of Change and Tangents to Curves §2.1: #1, 3, 7, 8, 11, 12, 15, 19

Limit of a Function and Limit Laws    §2.2: #1, 2, 3, 5, 9, 13, 19, 21, 22, 25, 27, 29, 34, 35, 36, 39, 42, 49, 57, 64, 68, 69, 85

One-Sided Limits and Limits at Infinity   §2.4: #1, 2, 7, 10, 12, 17, 19, 20, 21, 23, 25, 27, 34, 35, 39, 43, 47, 49, 51, 55, 69, 74

Infinite Limits and Vertical Asymptotes §2.5: #1, 3, 9, 13, 14, 17, 18, 19, 23, 31, 35, 39, 42, 43, 44

Continuity §2.6: #1–4, 5–10, 11, 12, 13, 19, 25, 35, 36, 39, 46, 47, 58

Tangents and Derivatives at a Point §2.7: #1, 5, 7, 11, 13, 18, 23, 27, 28, 29, 30

The Derivative as a Function §3.1: #1, 3, 6, 9, 10, 13, 17, 27–30, 31, 33, 43, 44

Differentiation Rules for Polynomials, Exponentials, Products, and Quotients  §3.2: #1, 3, 5, 7, 11, 15, 17, 18, 21, 23, 24, 27, 28, 29, 33, 35, 39, 43, 47, 49,50, 53, 58, 62, 63

The Derivative as a Rate of Change 2  §3.3: #1, 5, 7, 10, 11, 15, 17, 18, 21, 23, 26, 29

Derivatives of Trigonometric Functions §3.4: #1, 5, 8, 9, 11, 13, 16, 20, 25, 27, 35, 37, 47

Implicit Differentiation §3.6: #1, 5, 11, 17, 19, 25, 39, 44, 51

Derivatives of Inverse Functions and Logarithms §3.7: #3, 11, 13, 21, 25, 27, 29, 32, 41, 51, 57, 61, 64, 65, 91, 93, 95, 98

Inverse Trigonometric Functions §3.8: #1, 3, 7, 21, 23, 30, 33, 34, 42, 43, 48, 54

Related Rates §3.9: #1, 2, 3, 5, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 22, 23, 25, 30, 31, 35

Linearization and Differentials §3.10: #3, 8, 11, 15, 16, 39, 43, 45, 53, 54, 56, 61, 62

Extreme Values of Functions §4.1: #1–14, 15, 17, 19, 21, 25, 27, 29, 31, 33, 39, 41, 43, 49, 51, 55, 61, 66, 67.

The Mean Value Theorem   §4.2: #5, 6, 7, 9, 12, 13, 15, 19, 23, 25, 27, 31, 35, 39, 41, 45, 46, 59, 66

Monotonic Functions and the First Derivative Test §4.3: #1, 3, 5, 7, 9, 13, 17, 21, 25, 31, 43, 47, 49

Concavity and Curve Sketching §4.4: #1, 3, 11, 15, 17, 21, 25, 30, 33, 37, 53, 59, 69; p. 309: #55, 57, 59

Applied Optimization 3 §4.5: #1, 3, 4, 5, 7, 11, 12, 14, 20, [22], [24], [25], 27, 32, 33, 41, 44

Indeterminate Forms and L’Hˆopital’s Rule §4.6: #3, 5, 9, 15, 19, 21, 23, 25, 47, 51, 53, 61, 63

Antiderivatives  §4.8: #1, 5, 7, 13, 15, 19, 23, 31, 33, 39, 43, 45, 55, 59, 61, 65, 87, 89, 91, 95, 103, 117, 118, 119, 120

Estimating with Finite Sums, Sigma Notation and Limits of Finite Sums  §5.1: #1, 3, 5, 7, 11, 19, [21, 22]; §5.2: #1, 3, 7, 9, 13, 15, 19, 29, 35, 39

The Definite Integral  §5.3: #1, 3, 5, 9, 11, 13, 17, 19, 27, 31, 35, 55, 59, 63, 65, 66,

The Fundamental Theorem of Calculus §5.4: #1, 3, 5, 7, 9, 11, 17, 23, 27, 29, 33, 35, 39, 41, 43, 45, 47, 49, 53, 55, 58, 61–64, 73, 75

Indefinite Integrals and the Substitution Rule §5.5: #1, 3, 5, 7, 9, 13, 17, 19, 22, 23, 29, 39, 43, 49, 51, 61, 67

Substitution and Area Between Curves 2 §5.6: #1, 3, 7, 13, 25, 27, 31, 39, 47, 51, 53, 55, 57, 67, 77, 81, 85, 89, 99