Calculus I
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Calculus I
Course Description: This course is an introduction to differential and integral calculus, which is the mathematical language used in any science concerned with dynamically changing quantities. The main topics it covers are limits, derivatives, integrals, the Fundamental Theorem of Calculus, and some basic applications of these ideas.
WebAssign: Online homework will be submitted via WebAssign. Assignments will be due in four batches, split up by exam material. Please use these assignments as a way to measure your understanding of the presented material, as well as a way to learn. While they are due in batches, I would strongly advise you to tackle them as soon as you can, as it can be very easy to fall behind quickly in a class as fast paced as ours.
Worksheets:Inadditiontoonlinehomework,studentswillcomplete4worksheetsontherelevantmaterial. Worksheets will be due at the same time as the WebAssign homework. Worksheets will be submitted by uploading a pdf of their work. A random set of problems from each worksheet will be graded on correctness, and the rest will be graded on a “good faith effort.” A “good faith effort” means that so long as a student puts a good amount of effort into completing the problem, the student will earn full credit for that problem. Solutions to worksheets will be made available the morning after they are due.
Exams: There will be 4 exams. Please note that there will not be a cumulative final. Exams will be held online using Lockdown Browser and Respondus (LB&R). Students are strongly encouraged to complete the LB&R practice exam before taking the first exam. Students will be given a 22 hour window to start the exam, and will be given 1.5 hours to complete each exam.
Point Distribution:
WebAssign 16 percent
Worksheets 12 percent
Exams 1-4 72 percent (18 percent each)
The grading scale is as follows.
A |
[93, 100] |
B |
[83, 87) |
C |
[73, 77) |
D |
[63, 67) |
- |
[90, 93) |
- |
[80, 83) |
- |
[70, 73) |
- |
[60, 63) |
B+ |
[87, 90) |
C+ |
[77, 80) |
D+ |
[67, 70) |
F |
[0,60) |
Course Schedule:
Day |
Sections |
Monday July 10 |
2.1 - The Tangent and Velocity Problems 2.2 - The Limit of a Function |
Tuesday July 11 |
2.3 - Calculating Limits Using the Limit Laws 2.4 - The Precise Definition of a Limit |
Wednesday July 12 |
2.5 - Continuity 2.6 - Limits at Infinity; Horizontal Asymptotes |
Thursday July 13 |
2.7 - Derivatives and Rates of Change 2.8 - The Derivative as a Function |
Friday July 14 |
Catch up and review Homework Batch 1 due at midnight |
Monday July 17 |
Exam 1 (Covers Chapter 2) |
Tuesday July 18 |
3.1 - Derivatives of Polynomials and Exponential Functions 3.2 - The Product and Quotient Rules |
|
Wednesday July 19 |
3.3 - Derivatives of Trigonometric Functions 3.4 - The Chain Rule |
|
Thursday July 20 |
3.5 - Implicit Differentiation 3.6 - Derivatives of Logarithmic Functions |
|
Friday July 21 |
3.8 - Exponential Growth and Decay 3.9 - Related Rates |
|
Monday July 24 3.10 - Linear Approximations and Differentials |
||
Tuesday July 25 |
Catch up and review Homework Batch 2 due at midnight |
|
Wednesday July 26 Exam 2 (Covers Chapter 3) |
||
Thursday July 27 |
4.1 - Maximum and Minimum Values 4.2 - Mean Value Theorem |
|
Friday July 28 |
4.3 - How Derivatives Affect the Shape of a Graph 4.4 - Indeterminate Forms and l’Hospital’s Rule |
|
Monday July 31 |
4.7 - Optimization Problems 4.8 - Newton’s Method |
|
Tuesday August 1 4.9 - Antiderivatives |
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Wednesday August 2 |
Catch up and Review Homework Batch 3 due at midnight |
|
Thursday August 3 Exam 3 (Covers Chapter 4) |
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Friday August 4 |
5.1 - Areas and Distances 5.2 - The Definite Integral |
|
Monday August 7 |
5.3 - The Fundamental Theorem of Calculus 5.4 - Indefinite Integrals and the Net Change Theorem |
|
Tuesday August 8 |
5.5 - The Substitution Rule 6.1 - Areas Between Curves |
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Wednesday August 9 6.2 - Volumes |
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Thursday August 10 |
Catch up and Review Homework Batch 4 due at midnight |
|
Friday August 11 Exam 4 (Covers Chapters 5 and 6) |
2023-07-11