22M:025 Calculus I
This is the first semester of a standard two-semester calculus sequence. Topics covered include limits, continuity, differentiation, rate of change, applications of the derivative including curve sketching, indefinite and definite integrals, the Fundamental Theorem of Calculus, and area and volume. To be successful in this course the student should have mastered the material in the Arithmetic Module, the Algebra Module, the Logarithms and Exponentials Module, the Trigonometry Module, and the Analytic Geometry Module. This course is taught in sections of about 40 students with three hours of lecture by a faculty member and two hours of discussion lead by a TA. The prerequisite is 22M:009, or 22M:002 and 22M:005, or a satisfactory score on the math placement exam, or three and one-half years of high school mathematics including analytic geometry and trigonometry. This course may be used to satisfy the College of Liberal Arts and Sciences quantitative or formal reasoning requirement. Note that engineering students should take 22M:031 Engineering Mathematics I: Single Variable Calculus, students in the biological sciences should take 22M:016 Calculus for the Biological Sciences, and pre-business students should take 22M:017 Calculus and Matrix Algebra for Business.