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General Expectations: The Math Department's general expectations of students.

Text: The text for this course is Calculus, Early Vectors by James Stewart, Brooks-Cole, 1999.

Course Description: Basic concepts, differentiation with applications, integration.

Prerequisites: A grade of A in Math 140 or precalculus assessment as specified by the department or consent.

Computer Lab: For one hour a week, the class is scheduled in the computer lab, PSB 208. During this hour we shall hold a recitation or an actual lab session.

Midterms and Final: Course grades will be based on homework, lab work, two midterms, and a final. The Final will be comprehensive, and will be on Wednesday, Dec 17 from 12 to 2.

Homework: Exercises for homework will be assigned each week and collected on Thursdays. They will be returned the following week. In addition to the assigned problems students are expected to do an appropriate amount of "drill and practice" on their own in order to become proficient with the concepts and techniques introduced in class. The odd numbered problems generally have answers in the back of the book. If you are unable to understand how the book got its answer, it is your responsibility to find out: see the instructor or TA in his office, or visit the tutor room (PSB 315) for assistance or work with your fellow students. For the homework to be turned in, it is acceptable to work together, but each person should independently write up his/her own work.

Chapters 0 and 1, Review and Vectors in the Plane: Much of Chapter 0 will be left to the students to review on their own. We will cover Sections 1.1 and 1.2, vectors in the plane, their algebra, dot product, and length.

Chapters 2, Limits and Rates of Change: The notion of a limit, continuity, asymptotes, tangents.

Chapters 3, Derivatives: The derivative and differentiability. Derivatives of the trigonometric functions, implicit differentiation, related rates, higher derivatives, differentials and linear approximation.

Chapters 5, Applications of Differentiation: Definition of absolute and local extrema, Extreme Value Theorem for continuous functions, critical points. Mean Value Theorem, 1st derivative and monotonicity, 2nd derivative and concavity, first and second derivative tests for local extrema. Sketching of graphs, discuss all of the above, plus absolute extrema and long term behaviour (limits at infinity, horizontal and slant asymptotes). Applied maximum and minimum problems.

Chapters 6 and 7, Integration: Antiderivatives, sigma notation, concept of area, the definite integral, the Fundamental Theorem of Calculus, calculate integrals using the Fundamental Theorem, substitution, areas between graphs. We will skip Section 6.6 (The Logarithm defined as an Integral), it will be covered in the second semester. In Chapter 7 we will cover as much as time permits possibly including the calculation of some volumes using slices, disks, and shells.