MATH 1310-002
Calculus 1 with Biological Applications

Fall 2004


Useful Links

  1. Winning at Math Workshops

Handouts

  1. Course Syllabus
  2. Extra Credit Problems

Programming Projects

  1. Programming Project #1, Solution
  2. Programming Project #2a, Solution
  3. Programming Project #2b, Solution
  4. Programming Project #3, Solution
  5. Programming Project #4, Solution
  6. Programming Project #5, Solution
  7. Programming Project #6, Solution
  8. Programming Project #7, Solution
  9. Programming Project #8, Solution
  10. Programming Project #9, Solution
  11. Programming Project #10, Solution

Homework

Date Section Topics Assignment
August 23 1.1-1.2 Dynamics and Describing Growth pp. 12-14: 1, 2, 3, 6, 7, 9, 11
August 25 1.3-1.4 Units of Measurement and Linear Functions p. 22: 2, 4, 5, 6, 9
pp. 31-32: 3, 4, 6, 9
August 27 1.5 (1.10) Solutions of Dynamical Systems (Cobwebbing) pp. 38-39: 1, 4, 6, 7, 9, 10, 11
August 30 1.6 Combining and Manipulating Functions pp. 47-48: 1, 2, 4, 6, 7, 8, 11, 13
September 1 1.7 Exponential and Logarithmic Functions pp. 58-59: 5, 6, 7, 8, 9, 10, 11
September 3 1.9 Trigonometric Functions pp. 76-78: 1, 3ab, 4ab, 6, 9, 11, 13
September 6 Labor Day
September 8 1.10-1.11 Cobwebbing and Equilibria p. 85: 4, 7
pp. 94-95: 1, 2, 3, 5, 7, 8
September 10 1.12 Nonlinear Dynamics pp. 103-105: 3, 7, 8, 9, 12
September 13 Exam 1 Review
September 15 2.1 Exam 1
Introduction to Derivatives
pp. 127-129: 1, 2, 4, 9, 10, 11, 13
September 17 2.2 Limits pp. 136-138: 1, 2, 4, 5, 6ac, 7, 8, 10
September 20 2.3 Continuity pp. 146-147: 1, 2, 3, 5, 6, 7, 8
September 22 2.4 Computing Derivatives pp. 154-156: 1, 2, 4, 5, 6, 8, 9, 10, 11
September 24 2.5 Sum and Power Rules pp. 166-167: 2, 3, 4, 6, 7ac, 9, 10, 11, 12
September 27 2.6 Product and Quotient Rules pp. 174-175: 1ace, 2a, 3, 4, 6, 8, 9, 10, 13
September 29 2.7 Second Derivative pp. 183-184: 1, 2, 3, 4ace, 5ad, 7, 8, 9, 11
October 1 Fall Break
October 4 2.8 Derivatives of Exponential and Logarithmic Functions pp. 189-190: 1, 2, 3, 4, 5, 6, 7, 8ac, 9c
October 6 2.9 Derivatives of Trigonometric Functions p. 197: 1, 4, 7, 8bd, 9abc, 11, 12
October 8 2.10 Chain Rule and Inverse Functions pp. 208-209: 1, 2, 3, 5, 7, 14
October 11 2.10 Chain Rule Applications pp. 208-209: 4, 8, 10, 11, 12
October 13 Exam 2
October 15 3.1 Stability and the Derivative pp. 222-223: 1, 2, 4, 6, 7, 8, 9
October 18 3.2 More Complex Dynamical Systems pp. 235-236: 1, 2abc, 3abc, 5, 6
October 20 3.3 Maximization pp. 246-247: 1, 2, 3, 4
October 22 3.3 Maximization pp. 246-247: 5, 6, 7, 9, 10
October 25 3.4 Reasoning About Functions pp. 255-256: 2, 3, 7, 8, 9, 12
October 27 3.8 Newton's Method p. 298: 1, 3, 5, 7, 8, 9
October 29 3.5-3.6 Limits at Infinity and L'Hôpital's Rule p. 267: 2, 3, 6
pp. 279-280: 3, 5, 6, 11
November 1 3.7 Linear and Polynomial Approximation pp. 287-289: 1acdf, 2ab, 3, 5, 7acdf, 8acdf, 13
November 3 4.1 Differential Equations and Euler's Method pp. 321-322: 2, 3, 4, 5, 6, 7, 8
November 5 4.2 Examples of Differential Equations pp. 328-329: 1, 2, 5, 6, 7, 8
November 8 4.3 Solving Pure-Time Differential Equations pp. 338-339: 2, 3, 4, 5, 8, 9, 10
November 10 Exam 3
November 12 4.4 Integration by Substitution pp. 347-348: 1, 2, 3, 4, 7, 9
November 15 4.5 Integrals and Sums p. 355: 2, 3, 4, 5, 7, 8, 9
November 17 4.6 Definite and Indefinite Integrals p. 365-366: 1, 2, 4abe, 6, 7abe, 8, 9
November 19 4.7 Applications of Integrals p. 372-374: 1, 2, 4, 5, 6, 10, 13
November 22 5.1-5.2 Equilibria of Differential Equations pp. 393-394: 3, 4, 6, 7
p. 401: 1, 2, 3
November 24 5.3 Solving Autonomous Differential Equations pp. 407-408: 1, 2, 4, 5, 6, 8
November 26 Thanksgiving Break
November 29 5.4 Two-Dimensional Differential Equations pp. 415-416: 1, 2, 3, 4, 9, 10
December 1 5.5 The Phase Plane pp. 424-425: 1, 3, 8, 9, 10
December 3 5.6 Solutions in the Phase Plane pp. 434: 1, 2, 3, 4, 5
December 10 Final Exam 7:30-10:00 P.M.


Last modified on December 5, 2004 by Allen.Mann@Colorado.EDU.