### Math 2100: Calculus for Social and Natural Sciences II

#### Course Description

Math 2100 introduces students to additional Calculus concepts and algorithms relevant to business management and the life and social sciences.  Topics include Riemann integrals, functions of several variables, Lagrange Multiplier optimization, techniques of integration, improper integrals and an introduction to ordinary differential equations.

#### 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

• 6.1:  Antidifferentiation
• 6.2:  Definite Integral and Net Change of a Function
• 6.3:  Definite Integrals, Area Under Graphs and Riemann Sums
• 6.4:  Areas in the xy-Plane
• 6.5:  Applications of the Definite Integral
• 7.1:  Examples of Functions of Several Variables
• 7.2:  Partial Derivatives
• 7.3:  Maxima and Minima of Functions of Several Variables
• 7.4:  Lagrange Multipliers and Constrained Optimization
• 7.5:  The Method of Least Squares
• 7.6:  Double Integrals
• 9.1:  Integration by Substitution
• 9.2:  Integration by Parts
• 9.3:  Evaluation of Definite Integrals
• 9.6:  Improper Integrals
• 10.1: Solutions of Differential Equations
• 10.2: Separation of Variables
• 10.3: First-Order Linear Differential Equations
• 10.4: Applications of First Order Linear Differential Equations
• 10.5: Graphing Solutions of Differential Equations
• 10.6: Applications of Differential Equations