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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

Wednesday August 2

Catch up and Review

Homework Batch 3 due at midnight

Thursday August 3 Exam 3 (Covers Chapter 4)

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

Wednesday August 9 6.2 - Volumes

Thursday August 10

Catch up and Review

Homework Batch 4 due at midnight

Friday August 11 Exam 4 (Covers Chapters 5 and 6)