Bernd Schroeder

Videos

 

Home
Schedule
Curriculum Vitae
Books
Animations
Videos
MathCAD
Class Materials
Research Interests

 

 

So far, I have videos for the following seven courses: Single Variable Calculus, Multivariable Calculus, Differential Equations, Statistical Methods, Fundamentals of Mathematics, Functions of a Complex Variable, and Introduction to Number Theory. Precalculus is planned.

How to Study in an On-Line Class

 

Single Variable Calculus
        Limits and Continuity
        Derivatives
        Differentiation Formulas
        Modeling with Derivatives
        Integration Techniques
        The Fundamental Theorem of Calculus
        Applications of Integration
        Numerical Analysis
        Statistics - Distribution Functions
        Statistics - Connection to Data
        Sequences
        Series

Multivariable Calculus

        Vector Algebra
        Calculus of Vector-Valued Functions
        Surfaces in Three-Dimensional Space
        Integration of Multivariable Functions
        Differentiation of Multivariable Functions
        Multivariable Optimization
        Vector Fields
        Change of Variables and Surface Area
        Vector Calculus

Differential Equations   
        Modeling  
       
First Order Equations   
       
Second Order Linear Equations
        Qualitative and Numerical Analysis
        Theory of Linear Equations
        Laplace Transforms
        Partial Differential Equations
        Series Solutions
        Linear Systems

 

 

 

Statistical Methods
        Probability
        Discrete Random Variables
        Continuous Random Variables
        Joint Probability Distributions and Random Samples
        Confidence Intervals
        Hypothesis Tests
        Miscellaneous Review

Fundamentals of Mathematics  
        Logic
        Set Theory
        Natural Numbers
        Integers
        Fields
        Unsolvability of the Quintic by Radicals
        Axiom of Choice, Axiom of Substitution, Continuum Hypothesis

Functions of a Complex Variable

 

Introduction to Number Theory