MA1114: Single Variable Calculus II with Matrix Algebra - NPS Online
Single Variable Calculus II with Matrix Algebra
Course #MA1114
Starts: Not available
For details, contact NPS Online at online@nps.edu.
Est. completion in 5 Weeks
Offered through Distance Learning
Avg. tuition cost per course:
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This course is a review of techniques of integration, applications of integration, infinite series, convergence tests, and Taylor series, parametric equations and polar coordinates and a brief introduction to the arithmetic of complex numbers and DeMoivre’s theorem. Taught at the rate of nine hours per week for five weeks.
Prerequisites
- MA1113
Learning Outcomes
- Calculate geometric and physical quantities (such as area, volume, work, average value etc.) by setting up and evaluating a definite integral.
- Apply advanced integration techniques-including substitution, integration by parts, trigonometric substitution, and partial fractions-to evaluate indefinite and definite integrals.
- Determine the convergence or divergence of infinite sequences and series and justify the conclusion using appropriate convergence tests.
- Use power series to represent of functions and determine their interval of convergence.
- Apply Taylor's Theorem to find polynomial approximations of functions and estimate their accuracy and use Taylor series to solve problems across scientific and economic fields.
- Describe curves using Cartesian, parametric and polar coordinates to compute geometric properties like area and arclength.
- Express complex numbers in rectangular, polar and exponential forms to perform fundamental arithmetic operations, including roots and powers.