First semester of the standard 3-semester calculus sequence 103/104/201. Every spring about half of the students from this course continue the sequence with 104.
Topics: limits, continuity, definition of derivative, standard differentiation formulas, implicit differentiation, applications of the derivative (related rates, optimization, curve-sketching), linearization, antiderivatives, L'Hôpital's Rule, the definite integral, Fundamental Theorem of Calculus, area between curves, integration by substitution.
Classes: meet 3 times per week, for 50 minutes. Generally offered MWF at 9, 10, 11 and 12:30 in the Fall semester only. The course is organized into small precepts of 20 to 30 students. There is one course head who coordinates with all the instructors to write the exams. All students have the same homework assignments and take the same midterm and final exam. The midterm and final count for the bulk of your course grade, typically about 70%. These are graded by all the instructors together and one person grades the same question for all the students in the course. Typically there are small quizzes in precept, once a week or every other week. (Some semesters every section takes the same quizzes but in other semesters each preceptor writes his/her own quizzes.) Homework and quizzes typically count as about 30% of your grade.
Textbook: Thomas' Calculus, Early Transcendentals, Single Variable with Second-Order Differential Equations (Customized for Princeton University) by Thomas, Weir & Hass, Pearson: Addison-Wesley, (12th edition).
Notes:
General information about placement and contact information for the placement officer can be found on the Math Placement Page.
Once you have tried the problems, you can check your answers:
Midterm Exam Solutions,
Final Exam Solutions.