### Math 1400: Calculus for Social and Natural Sciences

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 (13th 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
• 1.8:  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
• 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 ex
• 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