MAT 640:151 - Calculus I for the Mathematical and Physical Sciences
			Course Lectures and Notes INSTRUCTION Professor: Alex Kontorovich Office: Hill 630 E-mail: alexk@math.rutgers.edu Office Hours: Tuesdays 1-2 pm. Or by appointment. WEEK LECTURE 1 LECTURE 2 NOTES/READINGS Week 1 9/06, 9/09 Lecture 1: Overview How do you do, fellow kids? (30 Rock) Lecture 2: Pre-Calc Review Week 2 9/13, 9/16 Lecture 3: Average and Instantaneous Rates of Change, Limits What is a Radian? Lecture 4: Limits, Continuity Week 3 9/20, 9/23 Lecture 5: Horizontal Asymptotes Lecture 6: Review Week 4 9/27, 9/30 MIDTERM 1 Lecture 7: Intro to Derivatives Week 5 10/04, 10/07 Lecture 8: Derivative Rules Lecture 9: More Derivatives and Applications Week 6 10/11, 10/14 Video lost :( Lecture 10: Chain Rule, Implicit Differentiation Lecture 11: Derivatives of Inverse Functions, Trig/Exp/Log Week 7 10/18, 10/21 Lecture 12: Related Rates Lecture 13: REVIEW Week 8 10/25, 10/28 MIDTERM 2 Lecture 14: Linearization Week 9 11/01, 11/04 Lecture 15: Max/Min, Mean Value Theorem On How Definitions Change Over Time! Lecture 16: Curve Sketching Week 10 11/08, 11/11 Lecture 17: Antiderivatives, l'Hopital's (Bernoulli's) Rule Lecture 18: Optimization Applications, Indefinite Integral Week 11 11/15, 11/18 MIDTERM 3 Lecture 19: Review Week 12 11/23 HAPPY THANKSGIVING! Lecture 20: "Off the beaten path" For fun: History of Calculus Tom Lehrer A "history" of Calculus 3blue1brown Newton's Binomial Theorem and Application to Pi Something a little different (by popular demand)... Week 13 11/29, 12/02 Lecture 21: Upper Sums Lecture 22: Riemann Sum/Integral Week 14 12/06, 12/09 Lecture 23: Fundamental Theorem of Calculus Lecture 24: Integration techniques, u-substition Week 15 12/13, 12/16 REVIEW SESSION Thurs 12/15 10 am - 5 pm (I will be there 1-3pm) in Hill 114 FINAL EXAM (12-3pm, in PH-111; ARRIVE BY 11:45)