Lecture: TTh 2:00-3:15pm in Harkness 115.
Office: Hylan 1017
Office Hrs: MWF 9:15 - 10:00am and by appointment.
Office: Hylan 1103
Office Hrs: M 9:15 - 10:15am.
Office: Mathematics Lounge, 9th floor Hylan Hall.
Office Hrs: F 1:00 - 2:00pm.
Office: Carlson library, basement.
Office Hrs: T 3:30-4:30pm.
Office: Gleason library.
Office Hrs: T 11:00am - 12:00pm.
MTH 143 is a continuation of MTH 142. This course introduces the techniques of the calculus with parametric curves and polar coordinates. Sequences and series are covered extensively. Goals of this course include:
- Reinforcing algebraic manipulation and trig techniques learned in previous courses.
- Providing tools and techniques for use in other disciplines. Many examples will come from geometry, graphs, and the simple physics of motion.
- Rigorous proofs, providing guarantees that the techniques always work if certain criteria are met, are left to later courses in analysis, such as MTH 265.
MTH 143 begins with the study of sequences and series. A variety of tests for convergence with be introduced including the comparison tests, the integral test, the alternating series test, and the ratio and root tests. Representing functions as power series will be covered along with a treatment of Taylor and Maclaurin series. The calculus of parametric and polar curves will be introduced and developed.