Math Camp

Doctoral students are encouraged to take this departmental online math camp. This non-credit course is self-paced. We encourage incoming students to complete it during the summer preceding the start of the Ph.D. program.

Math Camp Module 1

1.1Welcome
1.2Variables & Constants, Equations & Identities, & the Real Number System
1.3Sets
1.4Ordered Pairs, Relation, & Simple Function
1.5Polynomial Functions & Exponent Rules
1.6Logarithmic Functions
1.7Limits
1.8Inequalities & Absolute Values & Linear (Matrix) Algebra
1.9Linear Dependence/Independence & Commutative, Associative & Distributive Laws
1.10Identify & Null Matrices, Transpose a Matrix & Inverse Matrix
Module 1 Post-Test

Math Camp Module 2

2.1.1One Variable Calculus
2.1.2Linear & Non-Linear Functions & Rules for Computing Derivatives
2.1.3Composite Functions, Chain Rule & Inverse Functions
2.1.4Derivatives of Exponential and Logarithmic Functions, Differentiability and Continuity, & Approximation by Differentials
2.1.5Graphing Functions / Concavity & Convexity
2.2Linear Algebra Revisited
2.3Real Analysis 1
2.4Real Analysis 2

Math Camp Module 3

3.1Functions of Several Variables
3.2Calculus of Several Variables
3.3Optimization

Math Camp Module 4

4.1Unconstrained Optimization
4.2.1Constrained optimization: Equality and Inequality Constraints
4.2.3Constrained Optimization Problem and Khun-Tucker Formulation
4.2.4Meaning of the Lagrange Multiplier and Second Order Conditions

Math Camp Module 5

5.1Integral Calculus
5.2.1Differential Equations 1
5.2.2Differential Equations 2
5.2.3Differential Equations 3
5.3Proofs