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APSC 175 Calculus II Units: 3.50
This course reviews topics of Calculus I, including differential and integration methods, to bridge the gap between college-level calculus courses and Calculus II. Students will expand their understanding of calculus principles into multiple variables and dimensions to address engineering challenges. Functions of several variables, partial derivatives, differentials, error estimates, gradients, optimization, and double and triple integrals will be studied in Cartesian, cylindrical, and spherical coordinates for applications in statics, mechanics, transport phenomena, and other physical phenomena relevant to engineering.
(Lec: 3, Lab: No, Tut: 0.5)
(Lec: 3, Lab: No, Tut: 0.5)
Requirements: Prerequisites: APSC 171, Approval of Associate Dean (Academic)
Corequisites:
Exclusions: APSC 172, MATH 121, MATH 124
Offering Term: S
CEAB Units:
Mathematics 42
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0
Offering Faculty: Smith Engineering
Course Learning Outcomes:
- Interpret derivative-related methods in one variable to examine engineering phenomena.
- Interpret integral-related methods in one variable to examine engineering phenomena.
- Develop functions of two or three variables to describe and assess engineering phenomena.
- Perform differential operations on functions of two or three variables to examine engineering phenomena.
- Apply integral methods for functions of two or three variables to examine engineering phenomena.
- Use differential and integration methods to make engineering design choices.