Calc Series - bsiever/WUSTL-CSE-Curriculum GitHub Wiki

Required By: CSE 217A, CSE 417T, CSE 511A, CSE 515T(via 417T), CSE 516A, CSE 517A(via 417T), CSE 518A, CSE 519T(via 511A), CSE 543T(Calc 1 only), CSE 585T

1. Potential Learning Outcomes

2. Topics Covered

3. WashU Courses

3.1 MATH 131:

syllabus Learning Objectives:

• Use limits to describe and analyze the behavior of functions.
• Calculate limits using appropriate rules.
• Define the derivative in terms of limits, and use this definition to compute derivatives of simple functions.
• Use an array of differentiation rules to calculate derivatives of more complicated functions.
• Use derivatives and related theorems to describe and analyze the behavior of functions, including in application problems.
• Define the definite and indefinite integral, and describe how they relate to each other.
• Compute definite and indefinite integrals of reasonably simple functions.

3.2 MATH 132:

syllabus Learning Objectives:

• Use integrals to compute lengths, areas, and volumes
• Apply a variety of techniques for finding antiderivatives
• Given a function, identify the best technique to integrate it
• Understand the relationship between sequences and series, and what it means for each to converge
• Apply a variety of tests to determine if a series converges, and identify the best test to use
• Calculate and use Taylor series for functions

3.3 MATH 233:

syllabus Content:

• Partial derivatives
• multiple integration
• Green's theorem
• vector calculus

Pedagogy / Delivery

Learning Outcomes

Identified Missing Content

I suggest that after we identified the content, we can have a small targeted survey/chat with instructors of upper level courses to gauge what, if anything, is missing.