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

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, Pre-Calculus bone-up	9	1/7/2021	Geometric Series, Finite and Infinite
1	8/7/2020	Test Pre-Calculus	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	Bone-up
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	Bone-up	9 - 11	3/10/2021	Expansion Room
1, 2, 3, 4	10/6/2020	Bone-up	9 - 11	3/11/2021	Midterms
1, 2, 3, 4	10/7/2020	Bone-up	9 - 11	3/12/2021	Midterms
1, 2, 3, 4	10/8/2020	Bone-up	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	Bone-up	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	Bone-up	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	Bone-up		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	Bone-up
8	12/15/2020	Bone-up		5/19/2021	Bone-up
8	12/16/2020	Test Ch 8		5/20/2021	Bone-up
1,2,3,4,5,6,7,8	12/17/2020	Finals		5/21/2021	Bone-up
	12/18/2020	Finals		5/24/2021	Bone-up
				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

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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