Calculus for Social and Natural Sciences

Course Number:

Math 1400

**About this Course**

Math 1400 introduces students to Calculus concepts and algorithms relevant to business management and the life and social sciences. Topics include differentiation, exponential and logarithmic functions, optimization and integration.

**Textbook**

Calculus & Its Applications (13^{th} Ed), by L.J. Goldstein, D.C. Lay, D.I. Schneider, N. Asmar (Custom Edition for the University of Missouri) **MU Bookstore**

**MyMathLab access is required for this course. **Students may purchase a package that includes MyMathLab access and access to the online textbook or a package that includes MyMathLab access and a physical textbook.

**Sections Covered**

- 1.1: Slope of a Straight Line
- 1.2: Slope of a Curve at a Point
- 1.3: Derivatives and Limits
- 1.6: Rules for Differentiation
- 1.7: More About Derivatives
- 1.8: Derivatives as Rates of Change
- 2.1: Graphs of Functions
- 2.2: First and Second Derivative Tests
- 2.3: Curve Sketching (First and Second Derivative Tests)
- 2.4: Curve Sketching (Additional Techniques)
- 2.5: Optimization Problems
- 2.6: Additional Optimization Applications
- 3.1: Product and Quotient Rules
- 3.2: Chain Rule and the General Power Rule
- 3.3: Implicit Differentiation and Related Rates
- 4.1: Exponential Functions
- 4.2: Exponential Function
*e*^{x} - 4.3: Differentiation of Exponential Functions
- 4.4: Natural Logarithm Function
*ln x* - 4.5: Derivative of
*ln x* - 4.6: Properties of
*ln x* - 5.1: Exponential Growth and Decay
- 5.2: Compound Interest
- 5.3: Economic Applications of
*ln x* - 6.1: Antidifferentiation
- 6.2: Definite Integrals and the Fundamental Theorem
- 6.4: Areas in the
*xy*-Plane - 6.5: Applications of the Definite Integral