MAC 2311 – Calculus I Time Line Spring Term , 2016, Stewart 7th Edition Dates 1/11 – 1/15 1/18 – 1/22 No Class 1/18 1/25 – 1/29 2/1 – 2/5 2/8 – 2/12 No Class 2/12 Topics Section 1.1 Four Ways to Represent a Function * Section 1.2 A Catalog of Essential Functions * Section 1.3 New Functions from Old Functions * Section 1.4 The Tangent and Velocity Problems Section 1.5 The Limit of a Function Section 1.6 Calculating Limits Using the Limit Laws Section 1.7 The Precise Definition of a Limit ** Section 1.8 Continuity, Derivatives and Rates of Change Section 2.1 Derivatives and Rates of Change Test I Section 2.2 The Derivative as a Function Section 2.3 Differentiation Formulas Section 2.4 Derivatives of Trigonometric Functions Section 2.5 The Chain Rule Section 2.6 Implicit Differentiation 2/15 – 2/19 Section 2.7 Rates of Change in the Natural and Social Sciences Section 2.8 Related Rates 2/22 – 2/26 Section 2.9 Linear Approximation and Differentials Section 3.1 Maximum and Minimum Values Test II Dates Topics 2/29 – 3/4 Section 3.2 The Mean Value Theorem Section 3.3 How Derivatives Affect the Shape of a Graph Section 3.4 Limits at Infinity, Horizontal Asymptotes 3/7 – 3/13 3/14 – 3/18 3/21 – 3/25 College Closed for Spring Break Section 3.5 Summary of Curve Sketching Section 3.7 Optimization Problems Section 3.8 Newton’s Method ** Section 3.9 Antiderivatives Section 4.1 Areas and Distances 3/28 – 4/1 Test III Section 4.2 The Definite Integral Section 4.3 The Fundamental Theorem of Calculus 4/4 – 4/8 Section 4.4 Indefinite Integrals and Net Change Section 4.5 The Substitution Rule 4/11 – 4/15 Test IV Section 5.1 Areas Between Curves Section 5.2 Volumes – Disk and Washer Method 4/18 – 4/22 4/25 – 4/29 Section 5.3 Volumes by Cylindrical Shells Section 5.4 Work ** Section 5.5 Average Value of a Function** Final Exam Week (see final exam schedule at http://valenciacollege.edu/calendar/FinalExam.cf m ) This schedule is subject to change at any time by your instructor Withdrawal Deadline Friday, April 1st, 2016 * These sections may be covered in part, in entirety, or exchanged with topics or sections from the Appendix ** These sections may be omitted if necessary (as in the case of a summer term) but are encouraged to be covered