MATH 161: Single Variable Calculus I Summer 2023 Syllabus
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MATH 161: Single Variable Calculus I
Summer 2023 Syllabus
May 29 – June 23, 2023
Course Catalog Description
This course will provide an introduction to the topics and techniques of single-variable calculus. Differential calculus topics will include limits and derivatives of algebraic and transcendental functions as well as applications of the derivative. Integral calculus topics will include antiderivatives, area and the Fundamental Theorem of Calculus. (CMAR)
Textbook
Calculus – Early Transcendentals (With WebAssign), 8th edition, by James Stewart. Students must purchase access to WebAssign, but a hard copy of the text is optional. Access to WebAssign includes access to an electronic version of the textbook.
Topic Calendar
No. Sections Covered Week
1 Chapter 1 Functions and Models Review Week 1
2 2.1 The Tangent and Velocity Problems Week 1
3 2.2 The Limit of a Function Week 1
4 2.3 Calculating Limits Using the Limit Laws Week 1
5 2.4 The Precise Definition of a Limit Week 1
6 2.5 Continuity Week 1
7 2.6 Limits at Infinity, Horizontal Asymptotes Week 1
8 2.7 Derivatives and Rates of Change Week 1
9 2.8 The Derivative as a Function Week 1
10 3.1 Derivatives of Polynomials and Exponential Functions Week 2
11 3.2 The Product and Quotient Rules Week 2
12 3.3 Derivatives of Trigonometric Functions Week 2
13 3.4 The Chain Rule Week 2
14 3.5 Implicit Differentiation Week 2
15 3.6 Derivatives of Logarithmic Functions Week 2
16 3.7 Rates of Change in the Natural and Social Sciences Week 2
17 3.8 Exponential Growth and Decay Week 2
18 3.9 Related Rates Week 2
19 3.10 Linear Approximation and Differentials Week 2
20 4.1 Maximum and Minimum Values Week 3
21 4.2 The Mean Value Theorem Week 3
22 4.3 How Derivatives Affect the Shape of a Graph Week 3
23 4.4 Indeterminate Forms and L’Hopital’s Rule Week 3
24 4.5 Summary of Curve Sketching Week 3
25 4.6 Optimization Problems Week 3
26 4.8 The Newton Method Week 3
27 4.9 Antiderivatives Week 3
28 5.1 Areas and Distances Week 4
29 5.2 The Definite Integral Week 4
30 5.3 The Fundamental Theorem of Calculus Week 4
31 5,4 Indefinite Integrals and the Net Change Theorem Week 4
32 5.5 The Substitution Rule Week 4
Course Outcomes
By the end of this course, you will be expected to:
• Calculate limits, derivatives, and indefinite integrals of a single variable
• Apply the definition of the derivative to differentiate functions of a single variable
• Understand derivatives of power, exponential, logarithmic, trigonometric functions
• Utilize the chain rule to find derivatives of composite functions
• Find maxima and minima, critical points and inflection points of functions
• Be able to sketch graphs, find asymptotes, and find tangents
• Understand the Fundamental Theorem of Calculus and the techniques of integration
Homework
Homework problems are online, we will use the online resource WebAssign for weekly homework assignments and tutorial videos. Make sure to access WebAssign from the BlackBoard. Please refer to WebAssign Instruction on the blackboard for more details. Written homework may also be collected. NO LATE HOMEWORK WILL BE ACCEPTED.
Blackboard
Grades and additional course content will be uploaded to Blackboard. Make sure to check it regularly for updates.
Attendance
Attendance for the course will be the Watch It/Lecture videos with questions on WebAssign. For each section, videos with questions are available on WebAssign. Please complete the Watch It/Lecture to receive the full attendance credits.
Midterm and Final Exams
You will take 1 midterm exam given online, time will be limited to class time. Each will involve a mix of mechanical skills and conceptual reasoning. The best possible preparation for them is regular attendance and completion of assigned homework. Make-up exams are only given in case of documented emergencies.
Grading
Your final course grade will be determined by
Homework: 30%
Attendance: 10%
Midterms: 30%
Final Exam: 30%
Grading Scale:
Letter grades will be assigned as follows:
A 93-100 C 73-76
A- 90-92 C- 70-72
B+ 87-89 D+ 67-69
B 83-86 D 63-66
B- 80-82 D- 60-62
C+ 77-79 F below 60
2023-06-29