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MATH 1110:

CALCULUS I

Fall 2018 

This is the web page for my two sections of MATH 1110 at Cornell in Fall 2018.​ I will post worksheets used in section here every week. I may also include other material that I think is interesting and relevant to what we are doing in the course. You are not required to use anything on this web page, but I think you may find it useful. General information about the course can be found on Blackboard.

My office hours are Friday 10am-12pm in MLT 218.

Week 2: Precalculus and the Definition of Limits

Documents

M 8/27: Precalculus review worksheet

W 8/29: Definition of limits and one-sided limits pre-class activityworksheet, and solutions

F 8/31: Limit laws worksheet and solutions

Week 3: Limits and Continuity

Documents

M 9/3: Labor Day

W 9/5: Squeeze Theorem worksheet and solutions

F 9/7: Continuity and the Intermediate Value Theorem pre-class activityworksheet and solutions

Week 4: Limits Involving Infinity, Derivatives, and Tangent Lines

Documents

M 9/10: Limits involving infinity worksheet and solutions

W 9/12: Tangent lines and the definition of the derivative worksheet and solutions

F 9/14: Quiz 1 and solutions

Week 5: Differentiation Rules and Prelim Review

Documents

M 9/17: Wrap-up from last week

W 9/19: Differentiation Rules worksheet and solutions

F 9/21: Prelim Review

Week 6: The Chain Rule 

Documents

M 9/24: Prelim review

W 9/26: Derivatives of trigonometric functions worksheet and solutions

F 9/28: Chain rule worksheet and solutions

Week 7: Implicit Differentiation and Derivatives of Inverse Functions

Documents

M 10/1: Implicit differentiation worksheet and solutions

W 10/3: Derivatives of inverse functions worksheet and solutions

F 10/5: Derivatives of inverse trigonometric functions worksheet and solutions

Week 8: Related Rates 

Documents

M 10/8: Fall Break

W 10/10: Related rates worksheet and solutions

F 10/12: We continued working on related rates

Week 9: Linearization and the Extreme Value Theorem

Documents

M 10/15: Linearization worksheet and solutions

W 10/17: Extreme value theorem worksheet and solutions

F 10/19: Quiz 2 and solutions

Week 10: The Mean Value Theorem and Monotonic Functions

Documents

M 10/22: Mean value theorem pre-class activity, solutions to the pre-class activityworksheet and solutions

W 10/24: Monotonic functions worksheet and solutions

F 10/26: Prelim review

Week 11: Concavity, Curve Sketching, and de l'Hopital's Rule

Documents

M 10/29: Prelim review

W 10/31: Concavity worksheet and solutions

​Curve sketching activity I and solutions

Curve sketching activity II and solutions

F 11/2: de l'Hopital's rule worksheet and solutions

Week 12: Applied Optimization and Anti-differentiation

Documents

M 11/5: We finished the worksheet on de l'Hopital's rule

W 11/7: Applied optimization worksheet and solutions

F 11/9: Anti-differentiation worksheet and solutions

Week 13: Approximating the Area under a Graph

Documents

M 11/12: Estimating area and sigma notation I worksheet and solutions

W 11/14: Estimating area and sigma notation II worksheet and solutions

F 11/16: Quiz 3 and solutions, definite integrals worksheet and solutions

Week 14: The Fundamental Theorem of Calculus

Documents

M 11/19: We finished the worksheet on definite integrals.

W 11/21: Thanksgiving break

F 11/23: Thanksgiving break

Week 15: The Fundamental Theorem of Calculus

Documents

M 11/26: Fundamental theorem of calculus I worksheet and solutions

W 11/28: Fundamental theorem of calculus II worksheet and solutions

F 11/30: Fundamental Theorem of Calculus III worksheet and solutions

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