MATH205 Learning Materials for MATH205
Differential Calculus

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Unit 01

Part 1: Increments and Rates of Change
     Unit 01 Part 1 PowerPoint
     Unit 01 Part 1 Summary
     Video of a class teaching this material
     Library resources video
(includes information on free tutoring)

Part 2: Functions
     Unit 01 Part 2 PowerPoint
     Unit 01 Part 2 Summary
     Video of a class teaching this material - NOT EDITED YET


Unit 02

Part 3: Transforming Functions and Mathematical Modeling
     Unit 02 Part 3 PowerPoint
     Unit 02 Part 3 Summary
     Demo of transforming functions and mathematical modeling
     How to Do Mathematical Modeling video
     Video of a class teaching this material - NOT EDITED YET

Part 4: Limits and Continuity
     Unit 02 Part 4 PowerPoint
     Unit 02 Part 4 Summary
     Video of a class teaching this material - NOT EDITED YET


Unit 03

Part 5: Infinite Limits
     Unit 03 Part 5 PowerPoint
     Unit 03 Part 5 Summary
     Faraday's Law video
     Demo of limits of ratios
     Video of a class teaching this material - NOT EDITED YET

Part 6: Derivatives
     Unit 03 Part 6 PowerPoint
     Unit 03 Part 6 Summary
     Video of a class teaching this material - NOT EDITED YET


Unit 04

Part 7: Rules for Derivatives and Derivatives of Trig Functions
     Unit 04 Part 7 PowerPoint
     Unit 04 Part 7 Summary
     Video of a class teaching this material - NOT EDITED YET

Part 8: Higher Order Derivatives (and Physics)
     Unit 04 Part 8 PowerPoint
     Unit 04 Part 8 Summary
     Freefall video
     Video of a class teaching this material - NOT EDITED YET


Unit 05

Part 9: Chain Rule
     Unit 05 Part 9 PowerPoint
     Unit 05 Part 9 Summary
     Video of a class teaching this material - NOT EDITED YET

Part 10: Implicit Differentiation
     Unit 05 Part 10 PowerPoint
     Unit 05 Part 10 Summary
     Video of a class teaching this material - NOT EDITED YET


Unit 06

Part 11: Extrema
     Unit 06 Part 11 PowerPoint
     Unit 06 Part 11 Summary
     Video of a class teaching this material - NOT EDITED YET

Part 12: Related Rates Problems
     Unit 06 Part 12 PowerPoint
     Unit 06 Part 12 Summary
     Video of a class teaching this material - NOT EDITED YET


Unit 07

Part 13: Optimization
     Unit 07 Part 13 PowerPoint
     Unit 07 Part 13 Summary

Part 14: L'Hôpital's Rule
     Unit 07 Part 14 PowerPoint
     Unit 07 Part 14 Summary
     Video of a class teaching both Optimization and L'Hôpital's Rule - NOT EDITED YET


Unit 08

Part 15: Antidifferentiation/Integration
     Unit 08 Part 15 PowerPoint
     Unit 08 Part 15 Summary
     Video of a class teaching this material - NOT EDITED YET

Part 16: Reverse Chain Rule/U-substitution
     Unit 08 Part 16 PowerPoint
     Unit 08 Part 16 Summary
     Valdez Gant u-substitution in engineering video
     Video of a class teaching this material - NOT EDITED YET


Unit 09

Part 17: Area Under a Curve
     Unit 09 Part 17 PowerPoint
     Unit 09 Part 17 Summary
     Video of a class teaching this material - NOT EDITED YET

Part 18: Area Between Two Curves
     Unit 09 Part 18 PowerPoint
     Unit 09 Part 18 Summary
     Video of a class teaching this material - NOT EDITED YET


Unit 10

Part 19: Uses of Integration
     Unit 10 Part 19 PowerPoint
     Unit 10 Parts 19 and 20 Summary
     Video of a class teaching this material - NOT EDITED YET

Part 20: More Uses of Integration
     Unit 10 Part 20 PowerPoint
     Video of a class teaching this material - NOT EDITED YET



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