University of Pennsylvania Math Video Archive

Section Title Author Link
2.1 Rates of Change and Tangent Curves  (Video coming) Rimmer
2.4 Evaluating Limits Using Algebra
Rimmer http://media.sas.upenn.edu/file/157359
2.4 The Squeeze Theorem Rimmer http://media.sas.upenn.edu/file/157369
2.5 Continuity Rimmer http://media.sas.upenn.edu/file/157354
2.5 / 2.6 Intermediate Value Theorem and Limits Involving Infinity Rimmer http://media.sas.upenn.edu/file/157362
3.1 / 3.2
Tangents and the Derivative at a Point,
Rimmer http://media.sas.upenn.edu/file/157355
3.2 / 3.3
The Derivative as a Function and  Derivative Rules Rimmer http://media.sas.upenn.edu/file/157356
3.4 The Derivative as a Rate of Change Rimmer http://media.sas.upenn.edu/file/142069
3.5 Derivatives of Trigonometric Functions Rimmer http://media.sas.upenn.edu/file/157371
3.6 The Chain Rule Rimmer http://media.sas.upenn.edu/file/157353
3.7 Implicit Differentiation Rimmer http://media.sas.upenn.edu/file/141923
3.8 Derivatives of Inverse Functions and Logarithms Rimmer http://media.sas.upenn.edu/file/142209

Exponential Functions
Rimmer http://media.sas.upenn.edu/file/157360

Logarithmic Functions
Rimmer http://media.sas.upenn.edu/file/157370

Logarithmic Differentiation
Rimmer http://media.sas.upenn.edu/file/142263
3.9 Inverse Trigonometric Functions Rimmer http://media.sas.upenn.edu/file/142272
3.10 Related Rates Rimmer http://media.sas.upenn.edu/file/157368
3.11 Differentials Rimmer http://media.sas.upenn.edu/file/142864
4.1 Extreme Value of Functions Rimmer http://media.sas.upenn.edu/file/157335
4.2 The Mean Value Theorem Rimmer http://media.sas.upenn.edu/file/143199
4.4 Curve Sketching Part 1
Rimmer http://media.sas.upenn.edu/file/143389
4.4 / 4.5
Curve Sketching Part 2 and L'Hopital's Rule Part 1  (Video coming) Rimmer https://media.sas.upenn.edu/file/177975
4.5 L'Hopital's Rule Part 2
Rimmer http://media.sas.upenn.edu/file/143505
4.6 Applied Optimization Rimmer http://media.sas.upenn.edu/file/157337

Optimization Example 4
Rimmer http://media.sas.upenn.edu/file/157343

Optimization Example 5  (Video coming) Rimmer

Optimization Example 6  (Video coming) Rimmer
4.8 Antiderivatives Rimmer http://media.sas.upenn.edu/file/157339
5.1 / 5.2
Area and Estimating with Finite Sums, Sigma Notation
Rimmer http://media.sas.upenn.edu/file/143864
5.3 The Definite Integral Rimmer
5.4 The Fundamental Theorem of Calculus Part 2
Rimmer http://media.sas.upenn.edu/file/157349

The Fundamental Theorem of Calculus Part 1
Rimmer http://media.sas.upenn.edu/file/157348
5.6 Indefinite Integrals and the Substitution Method Rimmer http://media.sas.upenn.edu/file/144008

Substitution Example 3
Rimmer http://media.sas.upenn.edu/file/157345

Substitution Example 4
Rimmer http://media.sas.upenn.edu/file/157351

Substitution Example 5
Rimmer http://media.sas.upenn.edu/file/157352

Substitution Example 6
Rimmer http://media.sas.upenn.edu/file/157346

Substitution Example 7  (Video coming) Rimmer

Area Between Curves Rimmer http://media.sas.upenn.edu/file/157414




6.1 Volume by Slicing Concept
Rimmer http://media.sas.upenn.edu/file/157426

Area Formulas
Rimmer http://media.sas.upenn.edu/file/157427

Volume by Cross Sections Example 1
Rimmer http://media.sas.upenn.edu/file/157428

Volume by Cross Sections Example 2
Rimmer http://media.sas.upenn.edu/file/157429

Volume by Disk Method
Rimmer http://media.sas.upenn.edu/file/157408

Volume by Washer Method
Rimmer http://media.sas.upenn.edu/file/157410
6.2 Volumes Using Cylindrical Shells Rimmer http://media.sas.upenn.edu/file/157409

Deciding b/w Disk/Washer and Shells
Rimmer http://media.sas.upenn.edu/file/157424
6.3 Arc Length Rimmer http://media.sas.upenn.edu/file/157425
6.4 Areas of Surfaces of Revolution Rimmer http://media.sas.upenn.edu/file/157407
6.6 Moments and Centers of Mass Rimmer http://media.sas.upenn.edu/file/157430
8.1 Integration by Parts Rimmer http://media.sas.upenn.edu/file/157379
8.2 Trigonometric Integrals Part 1
Rimmer http://media.sas.upenn.edu/file/157411

Trigonometric Integrals Part 2
Rimmer http://media.sas.upenn.edu/file/157412
8.3 Trigonometric Substitutions Rimmer http://media.sas.upenn.edu/file/141964
8.4 Integration by Partial Fractions (Video coming)
Rimmer
8.6 Numerical Integration (Video coming)
Rimmer
8.7 Improper Integrals Rimmer http://media.sas.upenn.edu/file/142132
8.8 Probability Part 1
Rimmer http://media.sas.upenn.edu/file/142139

Probability Part 2
Rimmer http://media.sas.upenn.edu/file/157381
10.1 Sequences Rimmer http://media.sas.upenn.edu/file/143371
10.2 Infinite Series Rimmer http://media.sas.upenn.edu/file/143372
10.3 The Integral Test Rimmer http://media.sas.upenn.edu/file/143391
10.4 Comparison Tests Rimmer http://media.sas.upenn.edu/file/157373
10.5 The Ratio and Root Tests Rimmer http://media.sas.upenn.edu/file/143525
10.6 Alternating Series, Absolute and Conditional Convergence Rimmer http://media.sas.upenn.edu/file/143526

Deciding which test to use Part 1
Rimmer http://media.sas.upenn.edu/file/157375

Deciding which test to use Part 2
Rimmer http://media.sas.upenn.edu/file/143679
10.7 Power Series Introduction
Rimmer http://media.sas.upenn.edu/file/143694

Functions as Power Series Part 1
Rimmer http://media.sas.upenn.edu/file/157376

Functions as Power Series Part 2
Rimmer http://media.sas.upenn.edu/file/157377

Functions as Power Series Part 3
Rimmer http://media.sas.upenn.edu/file/157378
10.8 / 10.9 / 10.10
Taylor and Maclaurin Series Rimmer http://media.sas.upenn.edu/file/143985
9.1 Differential Equations Introduction
Rimmer http://media.sas.upenn.edu/file/142274
7.2 Exponential Change and Separable Differential Equations Rimmer http://media.sas.upenn.edu/file/142276
9.2 First Order Linear Equations Part 1
Rimmer http://media.sas.upenn.edu/file/142862

First Order Linear Equations Part 2
Rimmer http://media.sas.upenn.edu/file/157380




12.3 / 12.4
The Dot Product and the Cross Product Part 2
Rimmer http://media.sas.upenn.edu/file/157388

The Dot Product and the Cross Product Part 3
Rimmer http://media.sas.upenn.edu/file/157389
12.5 Lines and Planes in Space Part 1
Rimmer http://media.sas.upenn.edu/file/157390
12.5 / 12.6
Lines and Planes in Space Part 2 and Quadric Surfaces Part 1
Rimmer http://media.sas.upenn.edu/file/157392
12.6 / 13.1 Quadric Surfaces Part 2 and Vector Functions Rimmer http://media.sas.upenn.edu/file/157398
13.2 Integrals of Vector Functions; Projectile Motion Rimmer http://media.sas.upenn.edu/file/157397
13.3 / 13.4
Arc Length in Space and Curvature
Rimmer http://media.sas.upenn.edu/file/157382
13.5 Tangential and Normal Components of Acceleration Rimmer http://media.sas.upenn.edu/file/141962
14.1 Functions of Several Variables Rimmer http://media.sas.upenn.edu/file/141983
14.2 Limits and Continuity in Higher Dimensions Rimmer http://media.sas.upenn.edu/file/157432
14.3 Partial Derivatives Rimmer http://media.sas.upenn.edu/file/157395
14.4 The Chain Rule Rimmer http://media.sas.upenn.edu/file/157394
14.5 Directional Derivatives and Gradient Vectors Part 1
Rimmer http://media.sas.upenn.edu/file/157385

Directional Derivatives and Gradient Vectors Part 2
Rimmer http://media.sas.upenn.edu/file/157386
14.6 Tangent Planes and Differentials Rimmer http://media.sas.upenn.edu/file/157406
14.7 Extreme Values and Saddle Points Rimmer http://media.sas.upenn.edu/file/142865
14.8 Lagrange Multipliers Rimmer http://media.sas.upenn.edu/file/142918
15.1 Double and Iterated Integrals over Rectangles Rimmer http://media.sas.upenn.edu/file/143234
15.2 / 15.3
Double Integrals over General Regions Rimmer http://media.sas.upenn.edu/file/143312
15.4
Double Integrals in Polar Form Part 1 Rimmer http://media.sas.upenn.edu/file/157396

Double Integrals in Polar Form Part 2
Rimmer http://media.sas.upenn.edu/file/143334
15.5 / 15.7
Triple Integrals in Rectangular Coordinates and Cylindrical
Rimmer http://media.sas.upenn.edu/file/143680

Triple Integrals in Spherical Coordinates
Rimmer http://media.sas.upenn.edu/file/157400

Triple Integrals in Spherical Coordinates Example 1
Rimmer http://media.sas.upenn.edu/file/157401

Triple Integrals in Spherical Coordinates Example 2
Rimmer http://media.sas.upenn.edu/file/157399
15.6 Moments and Centers of Mass Rimmer http://media.sas.upenn.edu/file/143499
15.8 Substitutions in Multiple Integrals Rimmer http://media.sas.upenn.edu/file/143695
16.1 Line Integrals Rimmer http://media.sas.upenn.edu/file/143826
16.2 Vector Fields and Line Integrals Rimmer http://media.sas.upenn.edu/file/157374
16.3 Path Independence, Conservative Fields, and Potential Functions Rimmer http://media.sas.upenn.edu/file/143913
16.4 Green's Theorem in the Plane Rimmer http://media.sas.upenn.edu/file/143909
16.1-16.4
Loose Ends
Rimmer http://media.sas.upenn.edu/file/144000

Divergence and Curl Calculation
Rimmer http://media.sas.upenn.edu/file/157383

Divergence Concept
Rimmer http://media.sas.upenn.edu/file/157387

Curl Concept
Rimmer http://media.sas.upenn.edu/file/157384
16.5 / 16.6
Surfaces Area and Surface Integrals Rimmer http://media.sas.upenn.edu/file/144336

Surface Area : Implicit Function
Rimmer http://media.sas.upenn.edu/file/157402

Surface Area : Parametric Surface
Rimmer http://media.sas.upenn.edu/file/157403

Surface Integral : Implicit Function Rimmer http://media.sas.upenn.edu/file/157404

Surface Integral : Parametric Surface Rimmer http://media.sas.upenn.edu/file/157405

Flux of a Vector Field through a Surface
Rimmer http://media.sas.upenn.edu/file/157391
16.7 Stokes' Theorem Rimmer http://media.sas.upenn.edu/file/144415
16.8 Divergence Theorem Rimmer http://media.sas.upenn.edu/file/144454