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 sub-score. 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 self-directed studies in this subject anyway. Taking AP Calculus and not having this simple concept of self-directed 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 freshman-level [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 end-of-course 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 multiple-choice 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 five-point 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

If And Only Iff [IFF]

Informal Definition of Limit

Formal Definition of Continuity

Related Rates

Just for Kicks

Almost all numbers contain a 3.

1+2+3+4+… = -1/12

Super-human Strength

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, Pre-Calc prep

8/9/2018

Pre-Calc

8/10/2018

Pre-Calc

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 nth-Root 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

www.calculus.org

www.calculus-help.com

http://tutorial.math.lamar.edu

http://archives.math.utk.edu/visual.calculus/

www.sparknotes.com/math/

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.midnighttutor.com

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 entry-level 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 one-sided 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 (1-cos(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 (maximum-minimum 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 growth-and-decay problems.

 

If you need to contact Mr. Baldwin for math help, his phone number is 594-1894 and his e-mail address is baldjeff@comcast.net. Parents are invited to contact Mr. Baldwin at any time for any reason.

 

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