MATH-SCIENCE LEARNING CENTER
Montgomery College
Takoma Park Campus

MATHEMATICS VIDEOTAPES

VIDEOTAPES FOR MATH 090

Chapter 1   Whole Numbers and Introduction to Algebra     Tapes 1 & 2
Chapter 2   Integers                                                             Tapes 3 & 4
Chapter 3   Solving Equations and Problem Solving              Tapes 4 & 5
Chapter 4   Fractions                                                           Tapes 5, 6, & 7
Chapter 5   Decimals                                                           Tapes 7, 8, 9, & 10
Chapter 6   Graphing and Introduction to Statistics               Tapes 10 & 11
Chapter 7   Ratio, Proportion, and Measurement                 Tapes 11 & 12
Chapter 8   Percent                                                             Tapes 13 & 14
Chapter 9   Polynomials                                                       Tapes 14 & 15
 

VIDEOTAPES FOR MATH 091

Chapter 1   Review of Real Numbers                                  Tapes 1, 2 & 3
Chapter 2   Equations, Inequalities, and Problem Solving     Tapes 4, 5, & 6
Chapter 3   Graphing                                                          Tapes 7 & 8
Chapter 4   Exponents and Polynomials                               Tapes 8, 9, & 10
Chapter 5   Factoring Polynomials                                       Tapes 10, 11, & 12
Chapter 6   Rational Expressions                                         Tapes 13, 14, & 15
Chapter 7   Further Graphing                                               Tapes 15 & 16
Chapter 8   Solving Systems of Linear Equations                  Tapes 17 & 18
Chapter 9   Roots and Radicals                                           Tapes 18, 19, & 20
Chapter 10 Solving Quadratic Equations                              Tapes 21 & 22
 

VIDEOTAPES FOR MATH 100D

Chapter 1   The Real Number System                         Tape 1
Chapter 2   Expressions and Functions                        Tape 1
Chapter 3   Linear Equations and Inequalities              Tapes 1 & 2
Chapter 4   Properties of Lines                                   Tape 2
Chapter 5   Systems of Linear Equations                     Tape 2
Chapter 6   Exponents and Polynomials                      Tape 3
Chapter 7   Factoring                                                 Tape 3
Chapter 8   Rational Expressions                                Tape 3
Chapter 9   Radical Expressions                                 Tape 4
Chapter 10 Quadratic Equations                                 Tapes 4 & 5
Chapter 11 Exponential and Logarithmic Functions     Tape 5
 

VIDEOTAPES FOR MATH 180 (NEW)

PRECALCULUS through Modeling and Visualization
and
College Algebra and Trigonometry through Modeling and Visualization

Tape #       Section #      Section Title

       Chapter 1
1.1  Data, Numbers, and Algorithms                                                 Tape 1
1.2  Visualization of Data                                                                  Tape 1
1.3  Functions and Their Representations                                          Tape 1
1.4  Types of Functions and Their Rates of Change                           Tape 2
1.5  Modeling Data with Functions                                                    Tape 2
1.6  Transformations of Graphs                                                         Tape 2

       Chapter 2
2.1  Linear Equations                                                                        Tape 3
2.2  Linear Inequalities                                                                      Tape 3
2.3  Equations of Lines                                                                      Tape 3
2.4  Piecewise-Defined Functions                                                      Tape 4
2.5  Linear Approximation                                                                 Tape 4

       Chapter 3
3.1  Quadratic Equations and Inequalities                                           Tape 5
3.2  Nonlinear Functions and Their Graphs                                         Tape 5
3.3  Polynomial Functions and Their Graphs                                       Tape 5
3.4  Real Zeros of Polynomial Functions                                             Tape 6
3.5  The Fundamental Theorem of Algebra                                         Tape 6
3.6  Rational Functions                                                                       Tape 6
 
       Chapter 4
4.1  Combining Functions                                                                  Tape 7
4.2  Inverse Functions and Their Representations                               Tape 7
4.3  Exponential Functions                                                                 Tape 7
4.4  Logarithmic Functions                                                                 Tape 7
4.5  Exponential and Logarithmic Equations                                        Tape 7

       Chapter 5
5.1  Angles and Their Measure                                                          Tape 8
5.2  Right Triangle Trigonometryb                                                      Tape 8
5.3  The Sine and Cosine Functions and Their Graphs                        Tape 8
5.4  Other Trigonometric Functions and Their Graphs                         Tape 9
5.5  Modeling with Trigonometric Functions                                       Tape 9
5.6  Inverse Trigonometric Functions                                                  Tape 9

       Chapter 6
6.1  Fundamental Identities                                                                 Tape 10
6.2  Verifying Identities                                                                       Tape 10
6.3  Trigonometric Equations                                                              Tape 10
6.4  Sum and Difference Identities                                                       Tape 11
6.5  Multiple-Angle Identities                                                              Tape 11

       Chapter 7
7.1  Law of Sines                                                                                Tape 12
7.2  Law of Cosines                                                                            Tape 12
7.3  Vectors                                                                                        Tape 12
7.4  Parametric Equations                                                                    Tape 13
7.5  Polar Equations                                                                            Tape 13
7.6  Trigonometric Form and Roots of Complex Numbers                   Tape 13

       Chapter 8
8.1  Functions and Equations of More than One Variable                     Tape 14
8.2   Linear Systems of Equations and Inequalities in Two Variables     Tape 14
8.3  Solutions of Linear Systems Using Matrices                                  Tape 14
8.4  Properties and Applications of Matrices                                        Tape 14
8.5  Inverses of Matrices                                                                     Tape 14
8.6  Determinants                                                                                Tape 14

       Chapter 9
9.1  Sequences                                                                                    Tape 15
9.2  Series                                                                                           Tape 15
9.3  Conic Sections                                                                              Tape 15
9.4  Counting                                                                                       Tape 15
9.5  Probability                                                                                    Tape 15
 

VIDEOTAPES FOR TI GRAPHING CALCULATORS

TI-83 BASICS

GETTING STARTED
 Home Screen Calculations
 Editing and Menus
 Catalog

GRAPHS AND TABLES
 Graphing Basics
 Window, Trace, Zoom
 Creating Tables
 G-T Mode

CALCULATE MEAN AND SOLVER
 Value, Zero, Maximum
 Intersections Graphically
 Intersections Numerically

LISTS AND GRAPHS
 Defining Lists
 Families of Functions

BASIC STATISTICS
 Scatterplots
 Linear Regression
 

TI-83 BASICS AND CALCULUS

GETTING STARTED
 Home Screen Calculations
 Editing and Menus
 Catalog

GRAPHS AND TABLES
 Graphing Basics
 Window, Trace, Zoom
 Creating Tables
 G-T Mode

CALCULATE MEAN AND SOLVER
 Value, Zero, Maximum
 Intersections Graphically
 Intersections Numerically

LISTS AND GRAPHS
 Defining Lists
 Families of Functions

BASIC STATISTICS
 Scatterplots
 Linear Regression

DIFFERENTIAL CALCULUS
 Limits and Local Linearity
 Tangent Lines
 Derivative Calculations
 Derivative graphs

INTEGRATION
 Numerical Integration
 Area Between Curves
 Accumulation function
 Fundamental Theorem of Calculus
 

TI-83 BASICS AND STATISTICS

GETTING STARTED
 Home Screen Calculations
 Editing and Menus
 Catalog

GRAPHS AND TABLES
 Graphing Basics
 Window, Trace, Zoom
 Creating Tables
 G-T Mode

CALCULATE MEAN AND SOLVER
 Value, Zero, Maximum
 Intersections Graphically
 Intersections Numerically

LISTS AND GRAPHS
 Defining Lists
 Families of Functions

BASIC STATISTICS
 Scatterplots
 Linear Regression

ONE VARIABLE STATISTICS
 Introducing the Normal Curve
 Summary Statistics
 Histograms and Boxplots
 Assessing Normality

TWO VARIABLE STATISTICS
 Regression and Residuals
 Correlation

BINOMIAL DISTRUBUTION
 Simulation
 Probability Graphs
 Probability Calculations

NORMAL DISTRIBUTION
 Graphing Normal Curves
 Probability Calculations

INFERENTIAL STATISTICS
 Hypothesis Testing
 Confidence Intervals
 

TI-89 BASICS AND CALCULUS
Total Running Time: 00:89:54                                             Running Time:

GETTING STARTED                                                          00:14:40
  Keyboard Tour
  Menus and Dialog Boxes
  Home Screen Calculations

SOLVING EQUATIONS                                                    00:15:54
  Graphing Preliminaries
  Computer Algebra (CAS)
  Tables and Numeric Solver

CALCULUS BASICS, PART I                                           00:14:00
  Limits Using Rule of Three
  Derivatives and Integrals Using CAS and Graphs
 
CALCULUS BASICS, PART II                                          00:18:13
  CAS Exploration
  Accumulation Function
  Fundamental Theorem of Calculus

CONNECTIONS USING SCRIPTS                                   00:15:03
  Riemann Sums and Definite Integrals
  Definition of the Derivative and Rules of Differentiation

DIFFERENTIAL EQUATIONS                                          00:11:37
  Implicit Differentiation
  DE Solutions with CAS
  Slope Fields and Graphs