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.
Study Skills Calendar
Spring 2018
AP Calculus AB is in the Fall.
AP Calculus BC is in the Spring.
Here is our approximate schedule for this school year.

AP Calculus AB 
8/8/2018 
Intro, Summer work, PreCalc prep 
8/9/2018 
PreCalc 
8/10/2018 
PreCalc 
8/13/2018 
2.1, 2.2 Limits and Continuity 
8/14/2018 
2.3 The Sandwich Theorem 
8/15/2018 
2.4 Limits Involving Infinity 
8/16/2018 
2.5 d, e Limits 
8/17/2018 
Limits, Continuity Mastered 
8/20/2018 
Test Ch 2 Limits and Continuity 
8/21/2018 

8/22/2018 

8/23/2018 

8/24/2018 
3.1 The Derivative 
8/27/2018 
3.2 Numerical Derivatives 
8/28/2018 
3.3 Rules of Differentiation 
8/29/2018 
3.4 Position, Velocity, Acceleration 
8/30/2018 
3.5 Derivatives of Trig Functions 
8/31/2018 
3.6 The Chain Rule 
9/4/2018 
3.7 Implicit Differentiation 
9/5/2018 
3.8 Linear Approximation 
9/6/2018 
Derivatives Mastered 
9/7/2018 
Test Ch 3 Derivatives 
9/10/2018 

9/11/2018 

9/12/2018 

9/13/2018 
4.1, 4.2 Max, Min, POI, Curves 
9/14/2018 
4.3 Newton's Method 
9/17/2018 
4.4 Rational Functions 
9/18/2018 
4.5 Radical Functions 
9/19/2018 
Master Ch 4 prior to Related Rates 
9/20/2018 
Tet Ch 4 besides Related Rates 
9/21/2018 
4.6 Related Rates of Change 
9/24/2018 
4.6 Related Rates of Change 
9/25/2018 
4.6 Related Rates of Change 
9/26/2018 
4.6 Related Rates of Change 
9/27/2018 
Test Related Rates 
9/28/2018 

10/1/2018 

10/2/2018 

10/3/2018 
5.1 Area Under the Curve 
10/4/2018 
5.2 Integrals 
10/5/2018 
5.3, 5.4 Fund. Theorem of Calculus 
10/8/2018 
5.5 Indefinite Integrals 
10/9/2018 
5.6 Integration by substitution 
10/10/2018 
5.7 Numerical Integration 
10/11/2018 
Master Integrals 
10/12/2018 
Test Ch 5 Integrals 
10/22/2018 

10/23/2018 

10/24/2018 

10/25/2018 
6.1 Area Between Curves 
10/26/2018 
6.2 Volumes of Solids: Disks, Washers 
10/29/2018 
6.3 Volumes of Solids: Shells 
10/30/2018 
6.4 Length of Curves 
10/31/2018 
6.5 Areas of Surfaces of Revolution 
11/1/2018 
Master Ch 6 
11/5/2018 
Test Ch 6 Applications of Integration 
11/6/2018 

11/7/2018 

11/8/2018 

11/9/2018 
7.1 Logs 
11/13/2018 
7.2 Exps 
11/14/2018 
7.3 Logs and Exps 
11/15/2018 
7.4 Logs 
11/16/2018 
7.5 l'Hopital's Rule 
11/19/2018 
7.6 Rates at Which Functions Grow 
11/20/2018 
7.7 Inverse Trig 
11/21/2018 
7.8 Calculus of Inverse Trig 
11/26/2018 
Master Ch 7 
11/27/2018 
Test Ch 7 Transcendental Functions 
11/28/2018 

11/29/2018 

11/30/2018 

12/3/2018 
8.1 Integral Formulae 
12/4/2018 
8.2 Integration by Parts 
12/5/2018 
8.3 Integrals Involving Trig Functions 
12/6/2018 
8.5 Rational Functions, Partial Fractions 
12/7/2018 
8.6 Improper Integrals 
12/10/2018 
8.7 Differential Equations 
12/11/2018 
Master Ch 8, Techniques 
12/12/2018 
Test Ch 8 Techniques 
12/13/2018 

12/14/2018 

12/17/2018 

12/18/2018 

12/19/2018 

12/20/2018 
Finals 
12/21/2018 
Finals 





AP Calculus AB 
1/9/2019 
Sums, Series and Sequences 
1/10/2019 
Series and Limits, Geometric Series 
1/11/2019 
Convergences and Divergence 
1/14/2019 
nth Term Test 
1/15/2019 
Comparison and Integral Tests 
1/16/2019 
Limit Comparison Test 
1/17/2019 
Ratio and nthRoot Tests 
1/18/2019 
Alternating Series Test 
1/22/2019 
Absolute and Conditional Convergence 
1/23/2019 
Power Series 
1/24/2019 
Term by Term Derivatives and Integrals 
1/25/2019 
Master Ch 9 other than Taylor 
1/28/2019 
Test Ch 9 Series 
1/29/2019 

1/30/2019 

1/31/2019 

2/1/2019 
Taylor and MacLaurin Series 
2/4/2019 
Taylor and MacLaurin Series 
2/5/2019 
Taylor and MacLaurin Series 
2/6/2019 
Taylor and MacLaurin Series 
2/7/2019 
leGrande Error Bound 
2/8/2019 
leGrande Error Bound 
2/12/2019 
Test Taylor, MacLaurin leGrange 
2/13/2019 

2/14/2019 

2/15/2019 
Conics 
2/19/2019 
Conics 
2/20/2019 
Parameterization 
2/21/2019 
Calculus of Parameterization 
2/22/2019 
Polar Coordinates 
2/25/2019 
Graphs in Polar Coords 
2/26/2019 
Conics in Polar Coords 
2/27/2019 
Calculus in Polar Coordinates 
2/28/2019 
Master ch 10 
3/1/2019 
Test Ch 10 Conics, Polar coords, Parametrics 
3/4/2019 

3/5/2019 

3/6/2019 
DNS and AP Central 
3/7/2019 
DNS and AP Central 
3/8/2019 
DNS and AP Central 
3/11/2019 
DNS and AP Central 
3/12/2019 
DNS and AP Central 
3/13/2019 
DNS and AP Central 
3/14/2019 
DNS and AP Central 
3/15/2019 
DNS and AP Central 
3/25/2019 
DNS and AP Central 
3/26/2019 
DNS and AP Central 
3/27/2019 
DNS and AP Central 
3/28/2019 
DNS and AP Central 
3/29/2019 
DNS and AP Central 
4/1/2019 
DNS and AP Central 
4/2/2019 
DNS and AP Central 
4/3/2019 
DNS and AP Central 
4/4/2019 
DNS and AP Central 
4/5/2019 
DNS and AP Central 
4/8/2019 
DNS and AP Central 
4/9/2019 
DNS and AP Central 
4/10/2019 
DNS and AP Central 
4/11/2019 
DNS and AP Central 
4/12/2019 
DNS and AP Central 
4/15/2019 
DNS and AP Central 
4/16/2019 
DNS and AP Central 
4/17/2019 
DNS and AP Central 
4/18/2019 
DNS and AP Central 
4/23/2019 
DNS and AP Central 
4/24/2019 
DNS and AP Central 
4/25/2019 
DNS and AP Central 
4/26/2019 
DNS and AP Central 
4/29/2019 
DNS and AP Central 
4/30/2019 
DNS and AP Central 
5/1/2019 
DNS and AP Central 
5/2/2019 
DNS and AP Central 
5/3/2019 
DNS and AP Central 
5/6/2019 
DNS and AP Central 
5/7/2019 
DNS and AP Central 
5/8/2019 
DNS and AP Central 
5/9/2019 
DNS and AP Central 
5/10/2019 
DNS and AP Central 
5/13/2019 
DNS and AP Central 
5/14/2019 
AP EXAM 
5/15/2019 

5/16/2019 

5/17/2019 

5/20/2019 

5/21/2019 

5/22/2019 
Finals 
5/23/2019 
Finals 
5/24/2019 
Finals 
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.