MATH 1310-001
Calculus 1 with Biological Applications

Spring 2007


Useful Links

  1. Winning at Math Workshops

Handouts

  1. Course Syllabus

Programming Projects

  1. Programming Project #1: TI-83 TI-86 TI-89
  2. Programming Project #2: TI-83 TI-86 TI-89
  3. Programming Project #3: TI-83 TI-86 TI-89
  4. Programming Project #4: TI-83 TI-86 TI-89
  5. Programming Project #5: TI-83 TI-86 TI-89
  6. Programming Project #6: TI-83 TI-86 TI-89
  7. Programming Project #7: TI-83 TI-86 TI-89
  8. Programming Project #8: TI-83 TI-86 TI-89
  9. Programming Project #9: TI-83 TI-86 TI-89
  10. Programming Project #10: TI-83 TI-86 TI-89
  11. Programming Project #11: TI-83 TI-86 TI-89
  12. Programming Project #12: TI-83 TI-86 TI-89

Homework

Date Section Topics Assignment
January 16 1.1-1.2 Variables, Parameters, and Functions in Biology 1.2: 1, 3, 5-7, 9-11, 13-14, 16-17, 24-25, 28-29, 32-33, 36-37, 39-42, 49-52
January 19 1.3-1.4 Units of Measurement and Linear Functions 1.3: 7-13, 15-17, 27-28, 31-34
1.4: 1-6, 20-23, 39-42, 51-54
January 22 1.5 Discrete-Time Dynamical Systems 1-4, 7-8, 11-14, 17-18, 31-35, 38-39, 45-48
January 24 1.6 Analysis of Discrete-Time Dynamical Systems 1-2, 8-9, 13-18, 26-27, 31-36, 43-46
January 26 1.7 Expressing Solutions with Exponential Functions 1-26, 33-34, 43-50
January 29 1.8 Oscillations and Trigonometry 1-14, 28-30, 33-44
January 31 1.9 A Model of Gas Exchange in the Lung 1-10, 13-14, 17-18, 21-22, 25-26
February 2 1.10 An Example of Nonlinear Dynamics 1-5, 11-20, 23-26, 33-36
February 5 2.1 Introduction to Derivatives 1-6, 8, 10-11, 13-18, 21-23, 27-30
February 7 2.2 Limits 1-5, 9-24, 31-32, 38
February 9 2.3 Continuity 1-6, 11-16, 21-26, 29-30, 33-36
February 12 2.4 Computing Derivatives: Linear and Quadratic Functions 1-21, 31-36
February 14 Exam 1 Chapter 1: 1-13, 15-23
Chapter 2: 1-6
February 16 2.5 Derivatives of Sums, Powers, and Polynomials 1-16, 21-27, 29-36
February 19 2.6 Derivatives of Products and Quotients 1-12, 17-18, 23-24, 29-32
February 21 2.7 The Second Derivative, Curvature, and Acceleration 1-2, 5-8, 11-18, 27-30, 33-34, 41-42
February 23 2.8 Derivatives of Exponential and Logarithmic Functions 1-6, 12-16, 18-20, 25-26, 35-38
February 26 2.9 The Chain Rule 1-6, 9-14, 17, 20-21, 25-28, 33-34
February 28 2.9 The Chain Rule 7-8, 15-16, 29-30, 35-44
March 2 2.10 Derivatives of Trigonometric Functions 1-8, 10-12, 23-24, 27-30, 33-36
March 5 3.1 Stability and the Derivative 1-6, 11-20, 23-26, 29-30, 33-34
March 7 3.2 More Complicated Dynamics 1-4, 9-22, 27-28
March 9 3.3 Maximization 1-4, 7-10, 13-16, 23-26
March 12 3.3 Maximization 5-6, 11-12, 17-18, 27-28, 31-32, 35-36, 39-40, 47-48
March 14 Exam 2 Chapter 2: 7-29, 31-32, 35-36
Chapter 3: 29-30
March 16 3.4 Reasoning About Functions 1-4, 8-10, 15-22, 25-27, 29-30, 39-40
March 19 3.8 Newton's Method 1-8, 15-18, 23-26, 29-30
March 21 3.5-3.6 Limits at Infinity and L'Hôpital's Rule 3.5: 1-16, 31-34
3.6: 7-14
March 23 3.7 Linear and Polynomial Approximation 2-3, 5-6, 8-9, 11-12, 17-18, 25-26, 39-42
March 26-30 Spring Break
April 2 4.1 Differential Equations 1-7, 9-16, 19-21, 25-26
April 4 4.2 Solving Pure-Time Differential Equations 1-16, 19-26
April 6 4.3 Anti-derivatives 1-16, 31-32, 37-38
April 9 4.3 Integration by Substitution and Integration by Parts 17-24, 33-36, 43-46
April 11 4.4 Integrals and Sums 1-16, 25-28
April 13 4.5 Definite and Indefinite Integrals 1-7, 10-12, 15-22, 35-36
April 16 4.6 Applications of Integrals 1-16, 23, 29-31
April 18 Exam 3 Ch. 3: 1-6, 9-12, 16, 19, 23-26, 30
4.1: 8, 17-18, 22-24, 27-28
4.2: 17-18, 27-30
4.3: 29-30, 33-36, 39-42
Ch. 4: 1-2, 4, 6
April 20 5.1 Basic Differential Equations 1-14, 16-18, 20-22, 27-30
April 23 5.2-5.3 Stable and Unstable Equilibria 5.2: 1-6, 9-12, 15-18, 23-24, 35-36
5.3: 1-8, 11, 13-15, 33-34
April 25 5.4 Solving Autonomous Differential Equations 1-10, 15-18, 21-22, 27-28
April 27 5.5 Two-Dimensional Differential Equations 1-6, 11-14, 21-22, 25, 33-34
April 30 5.6 The Phase Plane
May 2 5.7 Solutions in the Phase Plane
May 4 Review Ch. 4: 7-12
Ch. 5: 1-2, 5-7, 16
May 9 Final Exam 4:30-7:00 P.M.