Big Idea #1 – Limits

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