AP Calculus BC 1st Quarter (V2.0) 2015-2016 Date Lesson M 8/31 Introduction, Policies T Pretest, Graphical Limits activity 9/1 W 9/2 Th 9/3 Review – fraction algorithms, derivatives, the difference quotient F T Big Idea #1 – Limits 9/4 9/8 Work Due/ Assessment 1.2–1.3 Limits – Finding them graphically, numerically & analytically 1.4 Continuity (and the IVT) 1.5 Infinite Limits W 9/9 Th 9/10 Big Idea #2 – Derivatives Indeterminate Forms and L’Hopital’s Rule – more on limits 2.1–2.4 Derivatives – finding them 8.7 F M 9/11 9/14 T 9/15 W 9/16 Th 9/17 F 9/18 M T 9/21 9/22 W 9/23 Th 9/24 F M 9/25 9/28 Proof – derivatives of sin and cos 2.5 Implicit Differentiation (the Chain Rule’s BFF) Quizlet – Derivatives and the Tangent Line Interpreting graphs WRT derivatives 2.6 Implicit Differentiation and Related Rates Review Chp.1 and 2 Test Chp.1-2: Limits, Continuity and Derivatives 3.1 3.2 Extrema Rolle’s Theorem and the MVT PSet #1 Quizlet – Graphs of f’ Homework T 9/29 W 9/30 3.3 & 3.4 Derivative Tests - the First & Second Position, Velocity and Acceleration Th 10/1 F 10/2 (Interims) M 10/5 T 10/6 W 10/7 Th 10/8 W 10/14 Th 10/15 F 10/16 M 10/19 T 10/20 W 10/21 10/22 10/23 10/26 10/27 W 10/28 Th 10/29 F Limits at Infinity Curve Sketching 3.7 3.8 Optimization Newton’s Method PSet #2 Quizlet – Position, Velocity and Acceleration Review Chp.3 F 10/9 T 10/13 Th F M T 3.5 3.6 Quizlet – Rolle’s and the MVT Test Chp.3 – Applications of the Derivative Big Idea #3 – Integrals 4.1 Antiderivatives and Integration Rules 4.2 4.3 Area Reimann Sums PSet #3 Review/Quiz Basic Integration 4.4 The Fundamental Theorem of Calculus 4.4 The Fundamental Theorem of Calculus 4.5 Integration by Substitution (u-sub) PSet #4 Quizlet – Fundamental Theorem 10/30 Note that this syllabus is subject to change. You can find the hw problems from our Larson book at: http://college.cengage.com/mathematics/blackboard/content/larson/calc8e/calc8e_solution_main.html?CH=00&SECT=a&TYPE=se
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