 MAC2311 Calculus I
 If you change the way you look at things, the things you look at change. Max Plank The real voyage of discovery consists not in seeking new landscapes, but in having new eyes. Marcel Proust MAC2311: Calculus I This course includes topics in analytic geometry, limits, continuity, differentiation of algebraic and transcendental functions and their inverses, differentials, indeterminate forms and L’Hopital’s Rule, introduction to integration and the fundamental theorem of calculus, basic rules of integration and integration by substitution, and applications of definite integrals and derivatives. Certain sections of this course may require the use of a graphing calculator. MAC2311: Activities Fall 2019, Broward College 8/19 Intro to the course 2.1: Rates of Change and Tangent Lines to Curves Practice 01 8/21 2.2: Limits of Functions and Limit Laws 2.3: The Precise Definition of a Limit Practice 02 and 2.3 HW_questions to be discussed in class. 8/26 2.4: One-Sided Limits; 2.5: Continuity Practice 03 8/28 2.6: Limits Involving Infinity; Asymptotes of Graphs. Limits at Infinity, prof. Kouba, Univ of California at Davis: Q&A. Practice 04. 9/4 Review 1 9/9 Test 1 9/11 3.1: Tangent Lines and the Derivative at a Point 3.2: The Derivative as a Function Practice 05. Practice 05 handwritten answers. 9/16 3.3: Differentiation Rules 3.4: Derivative as a Rate of Change. Particle motion (1 page). Practice 06. Worked answers to question 14 to 22. Khan Academy Video: Interpreting change in speed from velocity-time graph. Khan Academy Video: Motion problems: when a particle is speeding up. Question 1: The curve y=ax^2+bx+c passes through the point (1,8) and is tangent to the line y=6x at the origin. Find a, b and c. Answer here. Question 2: A body moves on a coordinate line such that it has a position s(t)=t^2 -5t+4  on the interval  [0,6] in meters and t in seconds (...).  Answer here. 9/18 3.5: Derivatives of Trig Functions Practice 07 9/23 3.6: Chain Rule Practice 08 9/25 3.7: Implicit Differentiation Practice 09 Correction to No.7 here. Worked answers, here. 9/30 3.8: Derivatives of Inverse Functions and Logarithms Practice 10 10/02 3.9: Inverse Trigonometric Functions Practice 11 10/09 3.10: Related Rates. Practice 12. math.libretexts.org: related rates examples. 10/14 3.11: Linearization and Differentials. Practice 13. HW questions pdf. 10/16 Review 2. Handwritten Ans to questions 27 to 32. 10/21 Test 2 10/23 4.1: Extreme Values of Functions 4.2: The Mean Value Theorem Practice 14 10/28      4.3: Monotonic Functions and the First Derivative Test. 4.4: Concavity and Curve Sketching Practice 15 10/30      4.6: Applied Optimization math.libretexts.org: optimization Practice 16 11/4        4.8: Antiderivatives. Practice 17 11/6        Review 3 Chapter 4 Handwritten answers to Qns 19 to 30 (Answers to qns 1 thru 18 discussed in class on 11/6) 11/13      5.1  Area and Estimating with Finite Sums 5.2  Sigma Notation and Limits of Finite Sums Practice 18 11/18      5.3  The Definite Integral. Practice 19 Properties of definite integrals by mathopenref 11/20      5.4  The Fundamental Theorem of Calculus 5.5: Indefinite Integrals and the Substitution Method Practice20 11/25      5.6: Definite Integral Substitutions 7.1: The Logarithm Defined as an Integral The logarithm defined as an integral by LibreText, UC Davis Practice21 11/27      Review 3 Chapter 5 Handwritten answers here. 12/2        Test 3 12/4        Review Final Exam 12/9        Final Exam Broward College, South Campus. Instructor: Carlos Sotuyo email: csotuyo@broward.edu Syllabus_MAC2311: MW, 5:00 pm-7:20 pm Building 70, Room 111 Office Hours: Building 69, Room 237: 4:10 pm -4:50 pm, Mondays HW Student registration handout The most complete Calculus course: Paul Online Notes Paul Cheat Sheets  PPTs downloadable zip folder Calculus I Video Lectures A Graphing calculator is highly recommended. TI 84 or Casio 9750GII.  Millersville University: final-review sheets & solutions for Basic Algebra, Trigonometry, Calculus 1, 2 & 3 . MATHISPOWER4U tutorials: Algebra, Calculus I, II, III, differentail eq, set theory, logic, etc. List of derivatives rules from UCDavis. Single Variable Calculus Prof. David Jerison Numberphile: Zero factorial: 0! = 1 Mr. Sotuyo road trip, Mojave Desert, California