### Calculus III

While widely available, not all programs are available in all locations or in both online and on-campus formats. Please check with a University Enrollment Representative. Transferability of credit is at the discretion of the receiving institution. Home Courses MTH Scroll for more. Get Started.

### You are here

Request Info. Students examine functions of more than one variable, curves in space, and Newtonian mechanics in three dimensions. Students explore partial derivatives and differentials as well as local and global extrema. In addition, students use differentiation techniques for functions of many variables.

## MTH Calculus III - Mathematics LibreTexts

Course details: Credits: 3. Differential Equations Use phase-plane analysis to solve systems of differential equations. Solve basic differential equations. Approximate first-order equations numerically using slope fields and Euler's method. Model real-life situations using differential equations. Use graphical methods to solve autonomous equations.

### Calculus III

Parametric Equations Identify key features of the graphs of parametric equations. Submit your application today! E : math spu. The third course in calculus, MAT , continues the study of differential and integral calculus begun in MAT and The course includes parametric equations, polar coordinates, vectors, sequences, series, and Taylor expansions. It also introduces multivariable calculus, including partial derivatives, double integrals, and triple integrals. The primary aims of the course are to help you develop new problem-solving and critical-reasoning skills and to prepare you for further study in mathematics, the physical sciences, or engineering.

By the end of the course, you should be able to do the following:.

You should also gain an increased appreciation of mathematics as part of the language of science and as a study in itself. Founded in , Seattle Pacific University is a leading Christian university that equips people to engage the culture and change the world. Skip site navigation and jump to page content. Calculating Limits Using the Limit Laws. The Precise Definition of a Limit. Limits at Infinity; Horizontal Asymptotes. Derivatives and Rates of Change.

The Derivative as a Function. Derivatives of Polynomials and Exponential Functions.

## Calculus III (MATH 2251)

The Product and Quotient Rules. Derivatives of Trigonometric Functions. The Chain Rule. Implicit Differentiation. Derivatives of Logarithmic Functions. Exponential Growth and Decay.

## Calculus III Summary

Related Rates. Linear Approximations and Differentials. Maximum and Minimum Values. The Mean Value Theorem. Areas and Distances.

The Definite Integral. The Fundamental Theorem of Calculus. Indefinite Integrals and the Net Change Theorem.

The Substitution Rule. Areas between Curves.