Math 151:01-03, TF, 8:30am-9:50am,  Fall 2023

                                   Syllabus and General Information    

• Lecturer : Dr. Vladimir Shtelen
• Office Hours: Hill Center, Room 203, Tuesdays & Fridays 10-11am
• e-mail address: shtelen@math.rutgers.edu
• web site: http://www.math.rutgers.edu/~shtelen
• TA:  Natasha Ter-Saakov, email:  nt399@rutgers.edu
• Departmental web page for Math 151
• Textbook: Thomas' CALCULUS Early Transcendentals, 2023, 15th ed. by Joel Hass, Christopher Heil, and Maurice Weir. Pearson Education. ISBN: 978-0137559756 
• Grading::  Midterm exams - 16%  each, Final exam -32%,  Quizzes and Workshops - 15%,  Homework  - 5%
  
  

  Lecture	Date	Topic(s) and text sections
  1	9/05	2.1 Introduction to limits; numerical estimation of limits; velocity as a limit
  2	9/08	1.2, 1.3, 1.5, 1.6  Review of selected pre-calc topics including composite functions, trig and exponential functions; logarithms; inverse trig functions
  3	9/12	2. 2 Limit laws, indeterminate forms, and the Sandwich Theorem
  4	9/15	2. 4  One-sided limits
  5	9/19	2.5  Continuity and the Intermediate Value Theorem
  6	9/22	2.6 Limits involving infinity; asymptotes of graphs
  7	9/26	3.1, 3.2  Definition of derivative at a point and as a function
  8	9/29	3.3 Differentiation Rules. Review for Exam 1
  9	10/03	Exam 1 (in our class room,  during lecture time)
  10	10/06	3,4, 3.5 Rates of change; derivatives of trigonometric functions
  11	10/10	3.6, 3.7  Chain rule; implicit differentiation
  12	10/13	3,8, 3.9  Derivatives of inverse functions and logarithms; inverse trigonometric functions and their derivatives
  13	10/17	3.10  Related Rates
  14	10/20	3.11 Linearizations and differentials
  15	10/24	4.1  Extreme values of functions on closed intervals. Review for Exam 2
  16	10/27	Exam 2  (in our class room,  during lecture time)
  17	10/31	4.2, 4.3 The Mean Value Theorem; Monotonic functions and the First Derivative Test
  18	11/03	4.4 Concavity and curve sketching
  19	11/07	4.5 Indeterminate forms and L’Hôpital’s Rule
  20	11/10	4.6 Applied optimization
  21	11/14	4.8 Antiderivatives
  22	11/17	5.1, 5.2 Area and estimating with finite sums; sigma notations and limits of finite sums Review for Exam 3
  23	11/22	Exam 3  (in our class room,  during lecture time)
  24	11/28	5.3 The definite integral (focus on regular partitions)
  25	12/01	5.4 The Fundamental Theorem of Calculus
  26	12/05	5.5 Indefinite integrals and the substitution method
  27	12/08	5.6 Definite integral substitutions and area between curves
  28	12/12	Review for the Final Exam
  	12/15	Final Exam, 12:00-3pm