Instructor: Tim Huber
Table of Contents:
Lecture Topic Outlines:
Announcements
Course Syllabus and Policies
Course Outline and Calendar
Homework
Lectures
Exam Preparation Material
The lecture notes appearing below provide a sketch of the covered material along with the date each topic was covered and the corresponding textbook sections. More than one lecture topic will be covered each day in class. Additional examples may be covered in class which do not appear in these pdf files.
| Topic | Date | Lecture Notes |
| Functions and Exponents | June 13 | Topic 1: 0.3, 0.5 |
| Tangent Lines and Derivatives | June 13 - 14 | Topic 2: 1.1, 1.2 |
| Derivatives, Limits, and Continuity | June 14 - 15 | Topic 3: 1.3, 1.4, 1.5 |
| Differentiation Rules and Higher Derivatives | June 15 | Topic 4: 1.6, 1.7 |
| The Derivative as a Rate of Change | June 15 - 16 | Topic 5: 1.8 |
| First and Second Derivative Rules | June 16 - 17 | Topic 6: 2.1, 2.2 |
| Applications of The First and Second Derivative Tests | June 17 | Topic 7: 2.3, 2.4, 2.5 |
| Applications to Business and Economics | June 17, 20 | Topic 8: 2.6, 2.7 |
| Product Quotient, and Chain Rules | June 21, 22 | Topic 9: 3.1, 3.2 |
| Implicit Differentiation and Related Rates | June 27, 28 | Topic 10: 3.3 |
| The Exponential Function | June 29 | Topic 11: 4.1, 4.2, 4.3 and Exponential Handout |
| The Natural Logarithm | June 30 | Topic 12: 4.4, 4.5, 4.6 |
| Exponential Growth and Decay | July 5 | Topic 13: 5.1, 5.2 |
| Relative Rates of Change and Elasticity of Demand | July 6 | Topic 14: 5.3 |
| Antiderivatives | July 11 | Topic 15: 6.1, 6.2 |
| The Definite Integral and Area | July 12 | Topic 16: 6.3 |
| Applications of the Definite Integral | July 13, 14 | Topic 17: 6.3, 6.5 and A Supplement |
| Techniques of Integration Integration by "substutition" and "parts" |
July 14 | Topic 18: 9.1, 9.2 A Supplement on U-Substitution A Supplement on Integration by Parts |
| Improper Integrals and Probability | ------------- | Topic 19: 9.6, 12.1, 12.2 |
| Functions of Two Variables and Partial Derivatives | ------------- | Topic 20: 7.1, 7.2 |
| The Second Derivative Test for Two Variables | ------------- | Topic 21: 7.3 |
| The Lagrange Method for Constrained Optimization of functions of Two Variables | ------------- | Topic 22: 7.4 |
Homework:
| Assignment #1 | Due: (June 24) |
| Assignment #2 | Due: (July 1) |
| Assignment #3 | Due: (July 1) |
| Assignment #4 | Due:(July 8) |
| Assignment #5 | Due:(July 8) |
| Assignment #6 | Due:(July 8) |
| Assignment #7 | Due: (TBA) |
| Assignment #8 | Due: (TBA) |
| Assignment #9 | Due: (TBA) |
| Assignment #10 | Due: (TBA) |
Solutions:
Suggested Textbook Exercises:
In addition to the graded homework above, it is highly recommended that you work the suggested exercises below. Though these problems will not be submitted for a grade, you can check your solution by comparison with the answers in the back of the book.
| Suggested Ex. #1 | 0.3 # 1, 3, 5, 7, 25, 28, 31, 32, 33, 35, 37
0.5 # 43, 49, 52, 53, 89, 91, 93, 95 |
| Suggested Ex. #2 | 1.2 # 13-18, 23, 25, 35
1.3 # 1-15 (odd), 19, 27, 39, 45, 51, 55 |
| Suggested Ex. #3 | 1.4 # 1-6, 9, 13, 15, 19, 33, 35, 39
1.5 # 1-12 |
| Suggested Ex. #4 | 1.6 # 1, 5, 9, 13, 17, 21, 25, 29, 33, 37
1.7 # 11-20 |
| Suggested Ex. #5 | 1.8 # 1, 5, 9, 19, 23, 25, 27, 29 |
| Suggested Ex. #6 | 2.1 # 1-4, 17, 18, 27 2.2 # 1-6, 20, 25-32 2.3 # 37, 17-31 (odd) |
| Suggested Ex. #7 | 2.5 # 3, 5, 15, 20 2.6 # 1, 3, 5, 15, 23 |
| Suggested Ex. #8 | 2.7 # 1, 3, 5, 9, 11, 15 |
| Suggested Ex. #9 | 3.1 # 1, 5, 9, 13, 17, 21, 33, 41, 43, 47 3.2 # 1 - 9, 17, 19, 25 - 31 (odd) |
| Suggested Ex. #10 | 3.2 # 33 - 39 (odd), 49, 51 3.3 # 1, 5, 9, 13, 17, 39, 41, 45 |
| Suggested Ex. #11 | 4.2 # 3, 7, 9 - 23 (odd) 4.3 # 1 - 31 (odd) |
| Suggested Ex. #12 | 4.4 # 1, 2, 9, 11, 13, 17, 31, 33, 35 4.5 # 1 - 23 (odd), 31, 33 4.6 # 19 - 35 (odd) |
| Suggested Ex. #13 | 5.1 # 1, 5, 7, 11, 13, 19, 25 5.2 # 1, 3, 7, 9, 11, 21, 23 |
| Suggested Ex. #14 | 5.3 # 14-24 |
| Suggested Ex. #15 | 6.1 # 1, 3, 5, 23, 25, 27, 35, 39, 47, 55 |
| Suggested Ex. #16 | 6.3 # 1 - 3, 11, 13, 15, 25, 37, 41(a), 43 |
| Suggested Ex. #17 | 6.5 # 1, 5, 9, 13, 17, 19 |
| Suggested Ex. #18 | 9.1 # 3, 7, 11, 13, 17, 19, 33, 34 9.2 # 3, 7, 9, 11, 15, 19 |
| Suggested Ex. #19 | 9.6 # 21, 25, 29, 33, 37, 41, 45 12.2 #1, 5, 11, 15, 19, 37, 38 |
| Suggested Ex. #20 | 7.1 # 1, 3, 5, 9, 15, 17, 19, 23, 24, 25, 26 7.2 # 5, 7, 9, 15, 19, 23, 25, 27, 35 |
| Suggested Ex. #21 | 7.3 # 1-9 (odd), 17 - 25 (odd), 29, 31 |
| Suggested Ex. #22 | 7.4 # 1 - 6, 13 - 16, 25 |
Review:
Exam 1, Problem 1
Exam 2, Problem 1
Review Sheet, Exam 2
Exam 3, Problem 1
Review Sheet, Exam 3
Review Sheet, Final Exam
Final Exam, Problem 1
 |
|