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Calculus II
OVERVIEW
CEA CAPA Partner Institution: University of Galway
Location: Galway, Ireland
Primary Subject Area: Mathematics
Instruction in: English
Course Code: MA212
Transcript Source: Partner Institution
Course Details: Level 200
Recommended Semester Credits: 2.5
Contact Hours: 36
DESCRIPTION
An introduction to the calculus of functions of two variables, and vector valued functions. The topics include: Vectors; Multivariate Calculus; Optimization of elementary multivariate functions; Integration of elementary multivariate functions over polygons.
Learning Outcomes
1. Apply vectors to describe lines and planes in 3-d;
2. Solve 3-d geometric problems using vectors;
3. Compute partial derivatives of chains of elementary multivariate functions;
4. Interpret gradient and tangent planes graphically;
5. Classify extreme values of elementary multivariate functions;
6. Solve a range of optimization problems modelled by multivariate functions;
7. Compute iterated integrals of multivariate functions over polygons;
8. Solve problems related to computing volumes in 3-d.
Learning Outcomes
1. Apply vectors to describe lines and planes in 3-d;
2. Solve 3-d geometric problems using vectors;
3. Compute partial derivatives of chains of elementary multivariate functions;
4. Interpret gradient and tangent planes graphically;
5. Classify extreme values of elementary multivariate functions;
6. Solve a range of optimization problems modelled by multivariate functions;
7. Compute iterated integrals of multivariate functions over polygons;
8. Solve problems related to computing volumes in 3-d.
