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2.1 Rates of Change and Tangent Curves (Video coming) Rimmer  
2.4 Evaluating Limits Using Algebra Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=9ec246ef-02c0-4e2d-9017-a8b200e240bb
2.4 The Squeeze Theorem Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=76d06d37-7ad4-4fe6-8ab7-a8b200e2a308
2.5 Continuity Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=33983cbc-a8d0-4563-98f7-a8b200e218b6
2.5 / 2.6 Intermediate Value Theorem and Limits Involving Infinity Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=7b6228a5-050c-453d-8ae7-a8b200e2669a
3.1 / 3.2 Tangents and the Derivative at a Point, Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=510fc67a-e369-44b1-8eb7-a8b200e22336
3.2 / 3.3 The Derivative as a Function and Derivative Rules Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=9aec47a2-ca8b-48eb-bef7-a8b200e2313f
3.4 The Derivative as a Rate of Change Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=a13721e2-163d-43c3-ab99-a8b200e202f6
3.5 Derivatives of Trigonometric Functions Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=d4ca7663-2d25-4b99-8550-a8b200e2b0cb
3.6 The Chain Rule Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=5d97f574-e6e1-4383-b08b-a8b200e20067
3.7 Implicit Differentiation Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=98b5b890-1005-45ad-84d7-a8b200e26195
3.8 Derivatives of Inverse Functions and Logarithms Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=61f23ad8-685b-4ebb-a536-a8b200e2acbf
  Exponential Functions Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=6eca85fb-e0c8-4f4d-93b5-a8b200e24f25
  Logarithmic Functions Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=9e3b7c34-72a6-4e2c-bb63-a8b200e2a504
  Logarithmic Differentiation Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=512a46da-7b0b-41a8-836c-a8b200e28970
3.9 Inverse Trigonometric Functions Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=cb351273-d1df-49d2-be50-a8b200e27c2e
3.1 Related Rates Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=8cb0fa44-82cc-4088-afbc-a8b200e29ae2
3.11 Differentials Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=2179c6e4-7a1e-4317-a0cc-a8b200e23684
4.1 Extreme Value of Functions Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=4deb1bfa-be03-401b-abd6-a8b200e1fc7d
4.2 The Mean Value Theorem Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=04ce8f62-f62b-4822-a4fa-a8b200e28e65
4.4 Curve Sketching Part 1 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=62180c3e-5c74-41d9-9ec3-a8b200e21a24
4.4 / 4.5 Curve Sketching Part 2 and L'Hopital's Rule Part 1 (Video coming) Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=3fc632ef-7702-49ba-ad1c-a8b200e21efc
4.5 L'Hopital's Rule Part 2 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=ae94d7a7-c170-4320-b560-a8b200e281ef
4.6 Applied Optimization Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=a567e4bb-a812-4226-b9eb-a8b200e294ec
  Optimization Example 4 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=6ebb0dee-747b-4e47-8ee6-a8b200e29432
  Optimization Example 5 (Video coming) Rimmer  
  Optimization Example 6 (Video coming) Rimmer  
4.8 Antiderivatives Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=ac3c9da5-4a57-468d-b65a-a8b200e1fe39
5.1 / 5.2 Area and Estimating with Finite Sums, Sigma Notation Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=fc0c9ad0-ea63-4dd1-84ee-a8b200e26a01
5.3 The Definite Integral Rimmer  
5.4 The Fundamental Theorem of Calculus Part 2 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=85a1aa66-c5a0-4936-91de-a8b200e25fd1
  The Fundamental Theorem of Calculus Part 1 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=ca0e2ccf-9ca1-48ec-9c91-a8b200e25df6
5.6 Indefinite Integrals and the Substitution Method Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=91a890d3-bd04-4111-be65-a8b200e2b593
  Substitution Example 3 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=2b1d8e92-7f10-433b-a5b0-a8b200e2ba74
  Substitution Example 4 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=5a3544b8-6ebc-484f-bc54-a8b200e2be77
  Substitution Example 5 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=19fad6e2-bbcc-4778-b334-a8b200e2c7b4
  Substitution Example 6 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=593d5fe0-55ba-4194-bb4b-a8b200e2ca78
  Substitution Example 7 (Video coming) Rimmer  
  Area Between Curves Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=3131ff20-8c25-4acd-87f6-a8b200e1ffac
       
6.1 Volume by Slicing Concept Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=1aa5cb78-bd40-44f5-9fa6-a8b200e4da5a
  Area Formulas Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=0eabdab9-fccd-4b98-993d-a8b200e3d326
  Volume by Cross Sections Example 1 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=0b172af7-d441-44ba-b655-a8b200e41565
  Volume by Cross Sections Example 2 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=aca53b23-9162-41cf-a543-a8b200e417a6
  Volume by Disk Method Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=bf13a527-fc68-4cb5-ab02-a8b200e4976e
  Volume by Washer Method Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=e601b9b8-23ed-44e2-b126-a8b200e4a831
6.2 Volumes Using Cylindrical Shells Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=bf5b51f0-28b7-4eea-938b-a8b200e49e62
  Deciding b/w Disk/Washer and Shells Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=2094abcf-1e67-4fe9-ac58-a8b200e42c1d
6.3 Arc Length Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=a04a4396-d1c6-4f06-9455-a8b200e3d305
6.4 Areas of Surfaces of Revolution Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=972ab43c-daf0-420a-9ce7-a8b200e4837d
6.6 Moments and Centers of Mass Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=23ffe1aa-9632-47a6-8283-a8b200e3e6b5
8.1 Integration by Parts Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=d8f515fe-b175-4f9c-8656-a8b200e43d96
8.2 Trigonometric Integrals Part 1 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=24d95590-3d55-4f03-9a7f-a8b200e4b245
  Trigonometric Integrals Part 2 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=58a67e18-bd7a-479e-8415-a8b200e4c2a7
8.3 Trigonometric Substitutions Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=49efc8bc-4f13-49b7-86d0-a8b200e4d58b
8.4 Integration by Partial Fractions (Video coming) Rimmer  
8.6 Numerical Integration (Video coming) Rimmer  
8.7 Improper Integrals Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=d65698f9-9910-4522-aab1-a8b200e434e2
8.8 Probability Part 1 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=9fd8a1c1-adae-40a1-b293-a8b200e46cff
  Probability Part 2 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=37528aed-8faf-4f37-9b22-a8b200e474f5
10.1 Sequences Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=dfaf3dcf-ea2b-432c-809a-a8b200e44835
10.2 Infinite Series Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=66c4289f-84db-4009-a0a8-a8b200e44bd2
10.3 The Integral Test Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=78ea830e-4c25-47b6-b48f-a8b200e43a0d
10.4 Comparison Tests Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=7271bd82-2eb0-4137-90b3-a8b200e3f6f6
10.5 The Ratio and Root Tests Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=f382366e-769c-4af3-8506-a8b200e477a0
10.6 Alternating Series, Absolute and Conditional Convergence Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=4925de25-1362-479f-b798-a8b200e3d3a5
  Deciding which test to use Part 1 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=8386c7eb-56dc-4450-bc91-a8b200e4131f
  Deciding which test to use Part 2 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=0a8faa1d-3fe5-43ca-ae90-a8b200e3d348
10.7 Power Series Introduction Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=8b22911f-8be4-42b8-85a9-a8b200e46b39
  Functions as Power Series Part 1 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=138cd09e-a21c-465e-b4f1-a8b200e42fd2
  Functions as Power Series Part 2 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=eb86cd57-6f7e-493f-ae65-a8b200e43173
  Functions as Power Series Part 3 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=c9e6bb45-fc33-4baf-898d-a8b200e43397
10.8 / 10.9 / 10.10 Taylor and Maclaurin Series Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=aecc5759-01f2-45e2-b4c4-a8b200e48c52
9.1 Differential Equations Introduction Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=b17fffc4-d440-4f66-a769-a8b200e440c3
7.2 Exponential Change and Separable Differential Equations Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=96b9b28c-7834-4751-9a0f-a8b200e480fc
9.2 First Order Linear Equations Part 1 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=53d883be-277a-40e9-905c-a8b200e4640a
  First Order Linear Equations Part 2 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=ebdc7f53-b881-4100-96b2-a8b200e45ea6
       
12.3 / 12.4 The Dot Product and the Cross Product Part 2 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=6065ce18-9e2d-4392-a9fa-a8b200ec74ba
  The Dot Product and the Cross Product Part 3 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=fbef8739-fd3c-4442-b1f7-a8b200ec7768
12.5 Lines and Planes in Space Part 1 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=91512b68-be82-48b2-8a4c-a8b200ec7d6a
12.5 / 12.6 Lines and Planes in Space Part 2 and Quadric Surfaces Part 1 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=d87f5a5a-c681-4fb3-8cc4-a8b200ecd50e
12.6 / 13.1 Quadric Surfaces Part 2 and Vector Functions Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=4b9d4428-b21a-4a5e-b0c9-a8b200ed3d61
13.2 Integrals of Vector Functions; Projectile Motion Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=db1a9260-8400-4ea5-8364-a8b200ed31a2
13.3 / 13.4 Arc Length in Space and Curvature Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=5a62edc7-5894-4541-8c41-a8b200ec3634
13.5 Tangential and Normal Components of Acceleration Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=40d5de45-6321-497e-83e4-a8b200edb73a
14.1 Functions of Several Variables Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=a46ce331-3f57-430a-b9a8-a8b200ecb2c9
14.2 Limits and Continuity in Higher Dimensions Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=29ce13ab-0ca2-4d3e-a8b6-a8b200ecde6d
14.3 Partial Derivatives Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=b0951bd9-2a7a-4741-b986-a8b200ed02bf
14.4 The Chain Rule Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=645f5463-2ce3-4453-b908-a8b200ecf001
14.5 Directional Derivatives and Gradient Vectors Part 1 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=a9d61c68-4f8f-4b57-b5f4-a8b200ec5d64
  Directional Derivatives and Gradient Vectors Part 2 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=9a389ee6-f226-4888-bdbb-a8b200ec61d9
14.6 Tangent Planes and Differentials Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=d73f2986-11b3-4cab-af1c-a8b200edb3bc
14.7 Extreme Values and Saddle Points Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=5dc687ef-c6b7-412d-aeb5-a8b200ec3681
14.8 Lagrange Multipliers Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=db84600c-13de-45f6-a099-a8b200ecbecf
15.1 Double and Iterated Integrals over Rectangles Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=e77e7eb3-2837-4b1d-af19-a8b200ecb567
15.2 / 15.3 Double Integrals over General Regions Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=f72b2fed-5c81-4ad6-9c73-a8b200ec7a10
15.4 Double Integrals in Polar Form Part 1 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=12497688-944d-4835-b1e0-a8b200ed0fad
  Double Integrals in Polar Form Part 2 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=78e78609-4413-4ec1-bcd8-a8b200ed17e3
15.5 / 15.7 Triple Integrals in Rectangular Coordinates and Cylindrical Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=a41813d8-45d3-4bc0-bbbe-a8b200edbbed
  Triple Integrals in Spherical Coordinates Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=fb3b51c6-145d-494f-9eb8-a8b200ed5aa8
  Triple Integrals in Spherical Coordinates Example 1 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=7d1ba064-64f5-47b0-acca-a8b200ed6d64
  Triple Integrals in Spherical Coordinates Example 2 Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=d7d77603-8304-40ef-812a-a8b200ed4dc4
15.6 Moments and Centers of Mass Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=32224863-e841-41dd-992f-a8b200ec365a
15.8 Substitutions in Multiple Integrals Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=1df1cff0-a772-403a-ab37-a8b200ec4ea6
16.1 Line Integrals Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=c3f0893b-0f88-4a5a-8545-a8b200ecca87
16.2 Vector Fields and Line Integrals Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=8891b590-e7e7-4579-affc-a8b200edbf66
16.3 Path Independence, Conservative Fields, and Potential Functions Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=0bd049c2-6ac3-44d8-93ae-a8b200ec9666
16.4 Green's Theorem in the Plane Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=86581e56-84a8-49e9-a279-a8b200eca18d
16.1-16.4 Loose Ends Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=7f8ffd60-2ba4-4cd5-a3a3-a8b200ec449d
  Divergence and Curl Calculation Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=8dfb93ba-fe4d-40d0-a5de-a8b200ec4017
  Divergence Concept Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=44b53287-77bf-402d-aca1-a8b200ec6d15
  Curl Concept Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=fe6aebd2-260c-46ee-b536-a8b200ec5326
16.5 / 16.6 Surfaces Area and Surface Integrals Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=727ca943-8ebc-41a9-ad9a-a8b200ed872a
  Surface Area : Implicit Function Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=d8bc8a53-a26f-4f17-805b-a8b200ed9565
  Surface Area : Parametric Surface Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=0511c75e-75a2-4c9e-901d-a8b200ed9c49
  Surface Integral : Implicit Function Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=ef1d2657-36b3-4dc7-9ed9-a8b200eda6e3
  Surface Integral : Parametric Surface Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=2de675ab-3d3e-436d-8c4e-a8b200edb03b
  Flux of a Vector Field through a Surface Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=6e01e002-1a55-48ba-bedf-a8b200ec91e8
16.7 Stokes' Theorem Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=009cd8b9-c212-4988-9925-a8b200ed8281
16.8 Divergence Theorem Rimmer https://upenn.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=27ee03d7-8496-4aae-b581-a8b200ec7037

Important Dates

  • Tuesday August 28 - First Day of Classes 
  • Monday September 3 - Labor Day (No Classes)
  • Monday September 17 - Course Selection Period Ends
  • Thursday October 4 - Sunday October 7 - Fall Term Break
  • Monday October 8 - Drop Period Ends
  • Friday October 19 - Sunday October 21 - Family Weekend
  • Friday November 9 - Last day to withdraw from a course
  • Tuesday November 20 - Follow Thursday schedule
  • Wednesday November 21 - Follow Friday schedule
  • Thursday November 22 - Sunday November 25 - Thanksgiving Break 
  • Monday December 10 - Last Day of Classes
  • Tuesday December 11 - Wednesday December 12 - Reading Days
  • Calculus Common Final Exams: Math 103, 104, 114, 115, 240, 241
    Wednesday December 19th 9-11am
  • Room Roster
  • Fall 2018 Final Exams (registrar's listing)
  • The College Calendar
  • Penn's Three-Year Academic Calendar