MTWR 10:30-12:10, room 422 MS

Instructor: Anatolii Grinshpan

Current office hours: 12:15-1:00 pm M-R or by appointment, 406 MS

Course information Important dates |
Math Learning Resource Center |

June 5 Review. Course overview. The limit of a function.

June 6 The limit of a function. Examples. Computation of limits.

June 7 Computation of limits. Infinite limits. Squeeze theorem.

June 8 Continuity. Continuity from the left and from the right. Computation of limits.

June 12 Composition. Continuity of the composition. Intermediate value theorem.

June 13 Examples. Tangent lines. Rates of change. The derivative of a function.

June 14 The derivative of a function. Rules of differentiation.

June 15 Techniques of differentiation.

June 19 Derivatives of trigonometric functions.

June 20 The chain rule.

June 21 Implicit differentiation.

June 22 Review.

June 26 Exam I. Answers.

June 27 Related rates. Derivatives of order 2 and higher.

June 28 Linear approximation to a function. Differentials.

June 29 Maximum and minimum values. The Mean Value Theorem.

July 3 Curve sketching.

July 4 No class.

July 5 Examples of optimization.

July 6 Review.

July 10 Exam II. Answers.

July 11 Newton's method. Antiderivatives of a function.

July 12 The definite integral.

July 13 The Fundamental Theorem of Calculus.

July 17 Indefinite integrals.

July 18 The substitution rule.

July 19 Areas between curves.

July 20 Review.

July 24 Exam III. Answers.

July 25 Volumes. Work. Average value of a function.

July 26 Review.

July 27 Final Examination.