Textbook: Calculus for Biology and Medicine by Neuhauser and Roper, 4th edition
- Week 1 – 1.2, 1.3, 1.4. Topics Covered: Lines, Unit Circle, Trigonometry, Exponentials and Logarithms, Exponential Functions, Inverse Functions, Logarithmic Functions, Trigonometric Functions, Graphing
- Week 2 – 1.4, 3.1. Topics Covered: Graphing (cont.) with Emphasis on Semilog and Double-log plots, Limits
- Week 3 – 3.2, 3.3, 3.4. Topics Covered: Continuity, Limits at Infinity, Sandwich Theorem, Trigonometric Limits
- Week 4 – 3.5, 4.1, 4.2. Topics Covered: Properties of Continuous Functions, Formal Definition of the Derivative, Properties of the Derivatives
- Week 5 – 4.3, 4.4. Topics Covered: Simple Derivatives, Product & Quotient Rule. Exam 1 (1.2-1.4, 3.1-3.5, 4.1-4.2)
- Week 6 – 4.5, 4.8, 4.6. Topics Covered: Chain Rule, Derivatives of Trigonometric Functions, Implicit Differentiation
- Week 7 – 4.6, 4.7, 4.9. Topics Covered: Related Rates, Higher Derivatives, Derivatives of Exponential Functions
- Week 8 – 4.10, 4.11, 5.1. Topics Covered: Derivatives of Inverse Functions, Logarithmic Functions, and the Inverse Tangent Function, Linear Approximation, Extrema and the Mean Value Theorem
- Week 9 – 5.1, 5.2, 5.3. Topics Covered: Extrema and the Mean Value Theorem (cont.), Monotonicity, Concavity, Extrema, Inflection Points. Exam 2 (4.3-4.11)
- Week 10 – 5.6, 5.4, 5.5. Topics Covered: Graphing, Optimization, L’Hopital’s Rule
- Week 11 – 5.5, 2.1, 2.2, 2.3. Topics Covered: L’Hopital’s Rule (cont.), Exponential Growth and Decay, Sequences, Recurrence Equations (Recursions)
- Week 12 – 5.7, 5.10. Topics Covered: Cobwebbing, Stability, Introduction to Antiderivatives
- Week 13 – 5.10, 6.1. Topics Covered: Antiderivatives (cont.), The Definite Integral
- Week 14 – 6.2, 7.1. Topics Covered: The Fundamental Theorem of Calculus, Substitution. Exam 3 (5.1-5.7, 2.1-2.3, 5.10, 6.1)
- Week 15 – 7.1, Review. Topics Covered: Substitution (cont.), Review
Textbook: Calculus for Biology and Medicine by Neuhauser and Roper, 4th edition
Section 1.2 – 7, 11, 27, 39, 63, 65, 69, 71, 73, 75, 81, 83
Section 1.3 – 59, 61, 63, 67, 70, 71, 75, 79-84, 95, 97
Section 1.4 – 2, 17, 23, 27, 33, 37, 43, 45, 47, 51, 55, 57, 59, 65, 97, 99, 101
Section 3.1 – 3, 15, 21, 25, 29, 31, 39, 49, 51, 53
Section 3.2 – 5, 7, 11, 15, 20, 21, 23, 25, 27, 41, 45, 51
Section 3.3 – 1, 3, 5, 9, 13, 17, 21, 23, 25, 29(b)
Section 3.4 – 1, 3, 7, 9, 11, 13, 17, 19 (For 17a and 19a, use a web-based grapher.)
Section 3.5 – 1, 3, 5, 7, 9, 11 (For 9b, use a web-based grapher.)
Section 4.1 – 13, 17, 19, 21, 23, 24, 25, 26, 27, 29, 31, 33, 37
Section 4.2 – 3, 5, 11, 13, 23, 27, 31, 37
Section 4.3 – 5, 7, 11, 17, 21, 25, 31, 43, 47, 49, 53, 57, 65, 69, 71, 73, 75
Section 4.4 – 3, 9, 17, 21, 25, 31, 35, 37, 39, 41, 43, 49, 51, 67, 71, 77, 83, 85, 87, 89, 91
Section 4.5 – 3, 5, 9, 13, 21, 27, 33, 35, 37, 39, 41, 43, 45
Section 4.8 – 1, 3, 5, 9, 13, 23, 25, 27, 29, 35, 39, 43, 53, 55, 59, 61, 63, 67, 69
Section 4.6 – 1, 5, 9, 11, 15, 19, 21, 23, 25, 27
Section 4.7 – 1, 5, 9, 13, 15
Section 4.9 – 1, 5, 9, 13, 17, 25, 31, 33, 37, 43, 47, 53, 55, 59, 61, 69, 71
Section 4.10 – 5, 7, 9, 11, 13, 15, 22, 23, 33, 35, 39, 41, 45, 53, 65, 67, 73, 75, 77
Section 4.11 – 1, 3, 7, 9, 11, 17, 25, 31, 33, 34
Section 5.1 – 1, 3, 5, 9, 11, 13, 18, 19, 25, 29, 33, 35, 37, 39, 41, 43, 44, 45, 46, 47, 49, 51, 52, 54
Section 5.2 – 1, 5, 9, 11, 13, 15, 19, 23, 29, 35
Section 5.3 – 1, 5, 7, 18, 21, 22, 23, 25, 29, 30, 31
Section 5.6 – 1, 3, 6, 7, 11, 15, 17, 19, 23
Section 5.5 – 1, 5, 7, 9, 11, 15, 17, 21, 25, 29, 30, 31, 33, 35, 37, 39, 45, 61, 66
Section 5.4 – 1, 3, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 17, 19
Section 2.1 – 1, 3, 5, 7, 11, 13, 17, 19, 23, 25, 31, 39
Section 2.1 – 43, 47, 53
Section 2.2 – 11, 19, 29, 30, 31, 33, 34, 47, 51, 59, 95, 96, 97, 99, 101, 105, 107, 109, 111, 113, 115, 117
Section 5.7 – 1, 3, 5, 7, 9, 11, 13, 15, 17, 23, 25
Section 5.10 – 1, 3, 5, 7 9, 15, 19, 23, 27, 29, 31, 37, 59, 65, 66, 69, 79
Section 6.1 – 1, 3, 5, 7, 9, 11, 15, 17, 19, 25, 27, 31, 33, 37, 41, 43, 51, 59, 65, 67
Section 6.2 – 1, 7, 15, 19, 27, 35, 39, 45, 51, 57, 61, 65, 67, 69, 75, 77, 81, 87, 97, 99, 105, 109, 113, 119
Section 7.1 – 11, 15, 17, 21, 23, 25, 28, 31, 33, 35, 39, 41, 45, 49, 53, 55, 57, 59