AP Calculus Program at
Lathrop High School Back toJeffBaldwin.org
AP Calculus AB a couple of days
before Halloween 2015
Olarte, Wen, Diep, Haile, Ortiz, Anderson, Gale, Kaur, Singh, Ocsona, Senot, Barber, Haro, Olivarez, Thongmanivong,
Bergren, Jimenez, Morla and Avila.
AP Calculus BC Spring 2015. Missing
Chris Consul.
AP Calculus BC Spring
2014
Aloha!
Floresca
with 100,000 volts in her hair from the van de graaf
generator.
AP Calculus BC in Spring 2013
Beginning in 2010,
Lathrop High School has offered both AP Calculus AB and AP Calculus BC. We have
a wonderful 2 for 1 special! Take AP Calc AB in the Fall,
then AP Calc BC in the Spring, and then in May take the AP Calc BC Exam. You
will receive two AP scores, a BC score and an AB subscore. This will give you
twice the AP Math action than most high schools offer.
Parents: There
is homework expected EVERY SINGLE NIGHT. It is
imperative that this is mandated by the parent. If there is no assignment, your
AP student needs to be performing selfdirected studies in this
subject anyway. Taking AP Calculus and not having this simple concept of
selfdirected studies is ridiculous. Thank you for supporting me on this and
enforcing this with your child. Two hours are expected to be cleared in your
child’s nightly schedule for the purpose of Calculus work. Please check your
child’s progress in the class daily using Parent Portal.
Click
ME to see the Calculus expectations page needed to be viewed by ALL students
and ALL parents.
Some good AP
Calc Prep books.
AP Calculus Prep Books
Princeton Review $20 3 AB tests 2 BC tests dry
Baldwin discount $16
McGraw Hill $19 2 AB tests 2 BC tests user ok
Baldwin discount $15.20
Barron’s $19 3 AB tests 3 BC tests user ok most popular by students
Baldwin discount $15.20
Kaplan $19 2 AB tests 1 BC test user friendly
Baldwin discount $15.20 Heavy calculator use
From ETS:
“The AP program is a collaborative effort between
secondary and postsecondary institutions that provides students opportunities
to take freshmanlevel [college freshman] courses while still in high school.
These courses are designed by committees of college faculty and experienced AP
teachers based on a set of publicly available standards with an endofcourse
assessment. Regular surveys and research efforts are designed to ensure that
the course content is congruent with the curriculum and the best practices of
corresponding college courses. Apart from helping to create the challenging
course content, AP teachers participate in professional development workshops
intended to enhance their students’ learning experiences. The AP exam typically
includes a series of multiplechoice questions and an essay section, scored
electronically and by human readers, respectively. Performance on the
assessment may imply eligibility to receive college credit and/or placement
from the institution of the student’s choice. Students are graded on a
fivepoint scale, in which a score of 5 reflects the highest level of mastery
of the AP course content. A grade of 3 on an AP exam often qualifies a student
to receive course credit or advanced placement from participating institutions,
though the decision to award credit varies across institutions and subjects
within institutions.”
Video Lessons
Informal
Definition of Continuity
Formal
Definition of Continuity
Just for Kicks
Almost
all numbers contain a 3.
AP Calculus AB is in the Fall.
AP Calculus BC is in the Spring.
AP Calculus AB Fall 2020 
AP Calculus BC Fall 2020 

Approximate Schedule
and Pacing Guide 
Approximate Schedule
and Pacing Guide 

Chapter 
Date 
Subjects 
Chapter 
Date 
Subjects 

1 
8/6/2020 
Organization,
PreCalculus boneup 
9 
1/7/2021 
Geometric Series,
Finite and Infinite 

1 
8/7/2020 
Test PreCalculus 
9 
1/8/2021 
Geometric Series,
Finite and Infinite 

2 
8/10/2020 
Limits 
9 
1/11/2021 
Comparison and
integral Tests 

2 
8/11/2020 
Continuity 
9 
1/12/2021 
Ratio and Root Tests 

2 
8/12/2020 
Limits and Continuity 
9 
1/13/2021 
Alternating Series and
Absolute Convergence 

2 
8/13/2020 
Sandwich Theorem 
9 
1/14/2021 
Power Series 

2 
8/14/2020 
Formal Definition of
Limit 
9 
1/15/2021 
Practice Convergence
Tests 

2 
8/17/2020 
Bone up 
9 
1/19/2021 
Practice Convergence
Tests 

2 
8/18/2020 
Test Ch 2 
9 
1/20/2021 
Practice Convergence
Tests 

3 
8/19/2020 
Slopes, Tangents,
Derivatives 
9 
1/21/2021 
Practice Convergence
Tests 

3 
8/20/2020 
Derivatives 
9 
1/22/2021 
Test Ch 9 Part I 

3 
8/21/2020 
Numerical Derivatives,
NDERIVE 
9 
1/25/2021 
Taylor and MacLauren Series 

3 
8/24/2020 
Rules of
Differentiation 
9 
1/26/2021 
Taylor and MacLauren Series 

3 
8/25/2020 
Position, Velocity,
Acceleration, Speed 
9 
1/27/2021 
Taylor and MacLauren Series 

3 
8/26/2020 
Position, Velocity,
Acceleration, Speed 
9 
1/28/2021 
Taylor and MacLauren Series 

3 
8/27/2020 
Derivatives of Trig
Functions 
9 
1/29/2021 
Taylor and MacLauren Series 

3 
8/28/2020 
Derivatives of Trig
Functions 
9 
2/1/2021 
Taylor and MacLauren Series 

3 
8/31/2020 
Chain Rule 
9 
2/2/2021 
Test Ch 9 Part II 

3 
9/1/2020 
Chain Rule 
10 
2/3/2021 
Conics and Quadratics 

4 
9/2/2020 
Implicit
Differentiation 
10 
2/4/2021 
Gra[hing Quadratics in
x and y 

4 
9/3/2020 
Implicit
Differentiation 
10 
2/5/2021 
Rotation of Axes 

4 
9/4/2020 
Linear Approximation 
10 
2/9/2021 
Parametric Equations 

4 
9/8/2020 
Test Ch 3 
10 
2/10/2021 
Derivatives and
Integrals in Parametric Equations 

4 
9/9/2020 
Maxima, Minima, Mean
Value Theorem 
10 
2/11/2021 
Derivatives and
Integrals in Parametric Equations 

4 
9/10/2020 
Maxima, Minima, Mean
Value Theorem 
10 
2/12/2021 
Polar Coordinates 

4 
9/11/2020 
Points of Inflection 
10 
2/16/2021 
Graphs in Polar
coordinates 

4 
9/14/2020 
Points of Inflection 
10 
2/17/2021 
Conics in Polar
coordinates 

4 
9/15/2020 
Newton's Method 
10 
2/18/2021 
Area in Polar
Coordinates 

4 
9/16/2020 
Newton's Method 
10 
2/19/2021 
Boneup 

4 
9/17/2020 
Optimization 
10 
2/22/2021 
Test Ch 10 

4 
9/18/2020 
Optimization 
11 
2/23/2021 
Vectors 

4 
9/21/2020 
Rational Functions, Economics
Calculus 
X 
2/24/2021 
Slope Fields 

4 
9/22/2020 
Radical Functions 
X 
2/25/2021 
Euler's Method 

4 
9/23/2020 
Test Ch 4 Part I 
X 
2/26/2021 
A Variety of Other
Crap We Missed 

4 
9/24/2020 
Related Rates 
9  11 
3/1/2021 
Expansion Room 

4 
9/25/2020 
Related Rates 
9  11 
3/2/2021 
Expansion Room 

4 
9/28/2020 
Related Rates 
9  11 
3/3/2021 
Expansion Room 

4 
9/29/2020 
Related Rates 
9  11 
3/4/2021 
Expansion Room 

4 
9/30/2020 
Related Rates 
9  11 
3/5/2021 
Expansion Room 

4 
10/1/2020 
Related Rates 
9  11 
3/8/2021 
Expansion Room 

4 
10/2/2020 
Test Related Rates Ch 4 Part II 
9  11 
3/9/2021 
Expansion Room 

1, 2, 3, 4 
10/5/2020 
Boneup 
9  11 
3/10/2021 
Expansion Room 

1, 2, 3, 4 
10/6/2020 
Boneup 
9  11 
3/11/2021 
Midterms 

1, 2, 3, 4 
10/7/2020 
Boneup 
9  11 
3/12/2021 
Midterms 

1, 2, 3, 4 
10/8/2020 
Boneup 
2  11 
3/22/2021 
DNS 

1, 2, 3, 4 
10/9/2020 
Midterms 
2  11 
3/23/2021 
DNS 

5 
10/19/2020 
Area 
2  11 
3/24/2021 
DNS 

5 
10/20/2020 
Definite integrals 
2  11 
3/25/2021 
DNS 

5 
10/21/2020 
Integrals and
Antiderivatives 
2  11 
3/26/2021 
DNS 

5 
10/22/2020 
Fiundamental Theorem of Calculus 
2  11 
3/29/2021 
DNS 

5 
10/23/2020 
Indefinite Integrals 
2  11 
3/30/2021 
DNS 

5 
10/26/2020 
Chain Rule is GOD 
2  11 
3/31/2021 
DNS 

5 
10/27/2020 
Numerical Integration 
2  11 
4/1/2021 
DNS 

5 
10/28/2020 
LRAM, RRAM, MRAM 
2  11 
4/6/2021 
DNS 

5 
10/29/2020 
Trapezoid Rule,
Simpson's rule 
2  11 
4/7/2021 
DNS 

5 
10/30/2020 
Inscribed Rectangles 
2  11 
4/8/2021 
DNS 

5 
11/2/2020 
Boneup 
2  11 
4/9/2021 
DNS 

5 
11/3/2020 
Test Ch 5 
2  11 
4/12/2021 
DNS 

6 
11/4/2020 
Area Between Curves 
2  11 
4/13/2021 
DNS 

6 
11/5/2020 
Volumes of Solids:
Disks, Washers, Shells 
2  11 
4/14/2021 
DNS 

6 
11/6/2020 
Length of Arc 
2  11 
4/15/2021 
DNS 

6 
11/9/2020 
Surface Area 
2  11 
4/16/2021 
DNS 

6 
11/10/2020 
Work 
2  11 
4/19/2021 
DNS 

6 
11/12/2020 
Fluid Pressures and
Forces 
2  11 
4/20/2021 
DNS 

6 
11/13/2020 
Centers of Mass,
Moments and Centroids 
2  11 
4/21/2021 
DNS 

6 
11/16/2020 
Applications of the Integral 
2  11 
4/22/2021 
DNS 

6 
11/17/2020 
Boneup 
2  11 
4/23/2021 
DNS 

6 
11/18/2020 
Test Ch 6 
2  11 
4/26/2021 
DNS 

7 
11/19/2020 
Naturla Logs 
2  11 
4/27/2021 
DNS 

7 
11/20/2020 
Exponential Functions 
2  11 
4/28/2021 
DNS 

7 
11/23/2020 
Exps and Logs 
2  11 
4/29/2021 
DNS 

7 
11/24/2020 
Exponential Change 
2  11 
4/30/2021 
DNS 

7 
11/25/2020 
l'Hopital's Rule 
2  11 
5/3/2021 
DNS 

7 
11/30/2020 
Rates at Which
Functions Grow 

5/4/2021 
AP TEST 

7 
12/1/2020 
Inverse Trig 

5/5/2021 
AP Test Debrief 

7 
12/2/2020 
Calculus Involving
Inverse Trig 

5/6/2021 
Other Subjects Missed 

7 
12/3/2020 
Boneup 

5/7/2021 
Other Subjects Missed 

7 
12/4/2020 
Test Ch 7 

5/10/2021 
Other Subjects Missed 

8 
12/7/2020 
Basic Formulae 

5/11/2021 
Other Subjects Missed 

8 
12/8/2020 
Integration by Parts 

5/12/2021 
Other Subjects Missed 

8 
12/9/2020 
Integrals Involving
Trig 

5/13/2021 
Other Subjects Missed 

8 
12/10/2020 
Rational functions and
Paretial Fractions 

5/14/2021 
Other Subjects Missed 

8 
12/11/2020 
Impropert Integrals 

5/17/2021 
Other Subjects Missed 

8 
12/14/2020 
Differential Equations 

5/18/2021 
Boneup 

8 
12/15/2020 
Boneup 

5/19/2021 
Boneup 

8 
12/16/2020 
Test Ch 8 

5/20/2021 
Boneup 

1,2,3,4,5,6,7,8 
12/17/2020 
Finals 

5/21/2021 
Boneup 


12/18/2020 
Finals 

5/24/2021 
Boneup 



5/25/2021 
Finals 



5/26/2021 
Finals 



5/27/2021 
Finals 



5/28/2021 
Finals 
Here is our approximate schedule for this school year.
Click ME to download limits
and continuity definitions!
Click
ME to download and print Log Rules!
Click ME to get Trig
Verifications Worksheets!
Click ME to download and
print the Symbols sheet!
Click ME
to view convergence flowchart from the Addison Wesley 1994 book.
Click ME to
download and print isometric paper.
AP Calculus
Links
http://tutorial.math.lamar.edu
http://archives.math.utk.edu/visual.calculus/
http://clem.mscd.edu/~talmanl?TeachCalculus/TOC.html
www.karlscalculus.org/calculus/html
www.math.ucla.edu/~ronmiech/Actuarial_Review/index.html
www.hsd.k12.or.us/glencoe/staff/abel/homework/hwresource.html
www.wade.org/calculus/htm#LES...%20REFERENCES
www.math.duke.edu/education/postcalc/ode/contents.html
www.math.ucdavis.edu/~kouba/ProblemsList.html
www.kent/k12.wa.us//pcpow/index.html
http://users.adelphia.net/~sismondo/index.html
www.pen.k12.va.us/Div/Winchester/jhhs/math/lessons/calculus/apexams.html
www.mrsroberts.com/MrsRoberts/Calculus/calculus.htm
www.ugrad.math.ubc.ca/coursedoc.math100/notes/index.html
www.jtaylor1142001.net/index.html
www.eecs.berkeley.edu/~celaine/apcalc/apcalc.pdf
www.scit.wlv.ac.uk/university/scit/maths/calculus/modules/tree.htm
California Content Standards
Calculus
When taught in high school, calculus should be presented with the same
level of depth and rigor as are entrylevel college and university calculus
courses. These standards outline a complete college curriculum in one variable
calculus. Many high school programs may have insufficient time to cover all of
the following content in a typical academic year. For example, some districts
may treat differential equations lightly and spend substantial time on infinite
sequences and series. Others may do the opposite. Consideration of the College
Board syllabi for the Calculus AB and Calculus BC sections of the Advanced
Placement Examination in Mathematics may be helpful in making curricular decisions.
Calculus is a widely applied area of mathematics and involves a beautiful
intrinsic theory. Students mastering this content will be exposed to both
aspects of the subject.
1.0 Students demonstrate knowledge of both the formal definition
and the graphical interpretation of limit of values of functions. This
knowledge includes onesided limits, infinite limits, and limits at infinity.
Students know the definition of convergence and divergence of a function as the
domain variable approaches either a number or infinity:
1.1
Students prove and use theorems evaluating the limits of sums, products,
quotients, and composition of functions.
1.2
Students use graphical calculators to verify and estimate limits.
1.3 Students prove and use special
limits, such as the limits of (sin(x))/x and (1cos(x))/x as x tends to 0.
2.0 Students
demonstrate knowledge of both the formal definition and the graphical
interpretation of continuity of a function.
3.0 Students demonstrate an understanding and the application
of the intermediate value theorem and the extreme value theorem.
4.0 Students demonstrate an understanding of the formal
definition of the derivative of a function at a point and the notion of
differentiability:
4.1 Students demonstrate an
understanding of the derivative of a function as the slope of the tangent line
to the graph of the function.
4.2 Students demonstrate an understanding of the
interpretation of the derivative as an instantaneous rate of change. Students
can use derivatives to solve a variety of problems from physics, chemistry,
economics, and so forth that involve the rate of change of a function.
4.3 Students understand the relation between
differentiability and continuity.
4.4 Students derive
derivative formulas and use them to find the derivatives of algebraic,
trigonometric, inverse trigonometric, exponential, and logarithmic functions.
5.0 Students know the chain rule and its proof and applications
to the calculation of the derivative of a variety of composite functions.
6.0 Students find the derivatives of parametrically defined
functions and use implicit differentiation in a wide variety of problems in
physics, chemistry, economics, and so forth.
7.0 Students compute derivatives of higher orders.
8.0 Students know and can apply Rolle’s theorem,
the mean value theorem, and L’Hôpital’s rule.
9.0 Students use differentiation to sketch, by hand, graphs of
functions. They can identify maxima, minima, inflection points, and intervals
in which the function is increasing and decreasing.
10.0 Students know Newton’s method for approximating the zeros of
a function.
11.0 Students use differentiation to solve optimization
(maximumminimum problems) in a variety of pure and applied contexts.
12.0 Students use differentiation to solve related rate problems
in a variety of pure and applied contexts.
13.0 Students know the
definition of the definite integral by using Riemann sums. They use this
definition to approximate integrals.
14.0 Students apply the definition of the integral to model
problems in physics, economics, and so forth, obtaining results in terms of
integrals.
15.0 Students demonstrate knowledge and proof of the fundamental
theorem of calculus and use it to interpret integrals as antiderivatives.
16.0 Students use definite integrals in problems involving area,
velocity, acceleration, volume of a solid, area of a surface of revolution,
length of a curve, and work.
17.0 Students compute, by hand, the integrals of a wide variety of
functions by using techniques of integration, such as substitution, integration
by parts, and trigonometric substitution. They can also combine these
techniques when appropriate.
18.0 Students know the definitions and properties of inverse
trigonometric functions and the expression of these functions as indefinite
integrals.
19.0 Students compute, by hand, the integrals of rational
functions by combining the techniques in standard 17.0 with the algebraic
techniques of partial fractions and completing the square.
20.0 Students compute the integrals of trigonometric functions by
using the techniques noted above.
21.0 Students understand the algorithms involved in Simpson’s rule
and Newton’s method. They use calculators or computers or both to approximate
integrals numerically.
22.0 Students understand improper integrals as limits of definite
integrals.
23.0 Students demonstrate
an understanding of the definitions of convergence and divergence of sequences
and series of real numbers. By using such tests as the comparison test, ratio
test, and alternate series test, they can determine whether a series converges.
24.0 Students understand and can compute the radius (interval) of
the convergence of power series.
25.0 Students differentiate and integrate the terms of a power
series in order to form new series from known ones.
26.0 Students calculate Taylor polynomials and Taylor series of
basic functions, including the remainder term.
27.0 Students know the
techniques of solution of selected elementary differential equations and their
applications to a wide variety of situations, including growthanddecay
problems.
If you need to contact Mr. Baldwin for math help, his
phone number is 5941894 and his email address is baldjeff@comcast.net.
Parents are invited to contact Mr. Baldwin at any time for any reason.