December 18th, 2018: [No class today due to the exam schedule - Exam Tomorrow]

December 17th, 2018: This was the second day of review for the Semester 1 Exam.

December 14th, 2018: Today we began our review for the Semester 1 Exam.

December 13th, 2018: This was the second of two days set aside for the Chapter 6-7 Test.

December 12th, 2018: This was the first of two days set aside for the Chapter 6-7 Test.

December 11th, 2018: We reviewed the Chapter 6-7 Practice Test today.

December 10th, 2018: We finished up volume today by discussing accumulation of cross-sections. The assignment is p.456) 71-72.

December 7th, 2018: In our last new section, we examined rotating regions around an axis. This creates volume through a technique known as the Disc Method. The assignment is p.453) 1-14.

December 6th, 2018: Today we began to look at area between curves. The assignment is p.442) 1-6, 17, 18, 23, 28, 30.

December 5th, 2018: This was the last day on differential equations. We demonstrated how to solve for a particular solution given an initial condition. The assignment is p.421) 15, 20, 25, 28.

December 4th, 2018: We looked more at differential equations today and more separation of variables. We still stuck only to general solutions. The assignment is p.421) 3, 4, 9, 12, 13.

December 3rd, 2018: Today we talked more about solving differential equations leading into separation of variables. The assignment is p.412) 1, 4, 5, 6, 9, 10.

November 30th, 2018: We continued to discuss slope fields today, in the context of solving differential equations and using initial conditions to find the particular solution. There is no assignment tonight.

November 29th, 2018: As we moved into chapter 6, today marked the first look at slope fields and how they represent the general solutions of a differential equation. The assignment is p.404) 53-60.

November 28th, 2018: This was the second of two days spent on the Chapter 5 Test.

November 27th, 2018: This was the first of two days spent on the Chapter 5 Test.

November 26th, 2018: We reviewed chapter 5 in preparation for the test tomorrow.

November 16th, 2018: Today was the Pre-Break Jeopardy Game.

November 15th, 2018: We celebrated the Thanksgiving holidays together today with a class feast.

November 14th, 2018: Today we expanded our look at exponential bases to include definite and indefinite integrals. The assignment is p.363) 71, 74, 75, 78, 80, 81.

November 13th, 2018: We moved on to "other than base e" exponential and logarithmic calculus. Today was spent entirely on derivatives. The assignment is p.362) 39, 40, 47, 52, 59, 62.

November 9th, 2018: This is the second of two days we are spending on calculus of base-e exponential functions. The focus today is on antiderivatives and definite integrals. The assignment is p.354) 93, 96, 103, 110, 115, 117.

November 8th, 2018: This is the first of two days we are spending on calculus of base-e exponential functions. The focus today is on derivatives. The assignment is p.352) 33, 38, 45, 49, 52, 57.

November 7th, 2018: Today we talked about finding the derivative of an inverse function. We are only spending one day on this because it is a relatively small part of the AP curriculum. The assignment is p.343-344) 9-12, 61, 66, 69.

November 6th, 2018: We wrapped up our discussion on natural logarithms today by examining definite integrals. The assignment is p.334-335) 49, 54, 55, 68, 70.

November 5th, 2018: Continuing with the theme of natural logarithms, today we discussed how to take the indefinite integral of 1/x. The assignment is p.334) 2, 5, 9, 22, 32, 38.

November 1st, 2018: Class began with an additional 10 minutes for completing the Chapter 4 Test. We then moved into chapter 5 and began discussing derivatives of natural logarithms. The homework assignment is p.325-326) 44, 50, 55, 61, 65, 70.

October 31st, 2018: This was the second of two days on the Chapter 4 Test.

October 30th, 2018: This was the first of two days on the Chapter 4 Test.

October 29th, 2018: Today we covered the Chapter 4 Practice Test. The actual test will be Tuesday and Wednesday.

October 26th, 2018: We covered numerical integration today, focusing on the trapezoidal sum method for approximation. The assignment is p.310) 1, 4, 7, 8, 10.

October 25th, 2018: Continuing our lessons on Substitution, we focused on trigonometric applications and alternate methods. The assignment is p.301-302) 33, 36, 39, 45, 48, 51.

October 24th, 2018: We began Integration by Substitution today. We focused on when to use it and how to recognize areas of an integral that would benefit from its use. The assignment is p.301) 5, 10, 13, 17, 20.

October 23rd, 2018: Today was the last day on the current section. We talked about the second fundamental theorem of calculus and related it to the first. The assignment is p.290, 76, 77, 83, 85, 87, 90.

October 22nd, 2018: We continued with the fundamental theorem of calculus today and looked at the mean value theorem for integrals and the average value of a function over an interval. The assignment is p.288) 39, 41, 42, 44, 45, 48, 53, 56.

October 18th, 2018: Today was a trivia day to celebrate the end of the first nine weeks.

October 17th, 2018: We finally made it to the Fundamental Theorem of Calculus, which is also the method for solving definite integrals algebraically. The assignment is p.288) 9, 12, 15, 22, 23, 31, 34.

October 16th, 2018: Continuing our examination of definite integrals, we focused on properties that allow us to manipulate the problems into workable expressions. The assignment is p.274) 33, 35, 36, 40, 47.

October 15th, 2018: We looked at Riemann sums and the definite integral today. All we focused on were writing definite integrals and using a little bit of Geometry to solve. The assignment is p.273-274) 10, 13, 16, 19, 22, 24, 25, 29, 32

October 12th, 2018: The period began as every Friday does, with the enjoyment of some cookies. After that we talked about how to approximate area under a function. The assignment is p.263) 25, 28, 29, 32, 33, 36.

October 11th, 2018: We began the day by spending 15 minutes on finishing up the test. I then began covering antiderivatives (indefinite integrals) and differential equations. The assignment is p.251) 11, 14, 22, 29, 36, 41.

October 10th, 2018: This was the second day of a two-day test on Chapter 3.

October 9th, 2018: This was the first day of a two-day test on Chapter 3.

October 8th, 2018: Today we reviewed the practice test for chapter 3. The real test will be tomorrow and Wednesday. Copies of the practice quiz and worked-out answers are available on this website.

October 5th, 2018: We finished up our discussion of optimization today. Mostly focusing on word problems, we talked about how optimization might look in real life situations. The assignment is p.221) 21, 22, 25.

October 4th, 2018: Today we began a section on Optimization. We talked about need one equation to optimize and another to act as a constraint. The assignment is p.220) 9-16.

October 3rd, 2018: We went back and wrapped up yesterday's lesson on concavity and the second derivative test before moving on to the new topic for the day. It was Limits at Infinity, and it dealt primarily with horizontal asymptotes. The assignment is p.202) 19, 24, 27, 33, 35, 38.

October 2nd, 2018: The intent was to finish our lesson on concavity and the second derivative test, but we only got about half way through because of the lockdown. I will finish the lesson tomorrow and I will post the notes at that time. The assignment is p.192-193) 31, 38, 41, 54, 61. I asked the students to at least complete the first three.

October 1st, 2018: Our topics today were concavity and the second derivative test. The assignment is p.192) 3, 8, 14, 18, 23, 28.

September 28th, 2018: We picked up where we left off by talking about the First derivative test (to check for relative extrema). The assignment is p.192) 3, 8, 14, 18, 23, 28.

September 27th, 2018: I was absent today. A worksheet was assigned in class and will show up as notes on this website tomorrow. I will also update the calendars tomorrow to reflect the change in schedule.

September 26th, 2018: Instead of moving forward to the next section, we just reviewed the Mean Value Theorem. We will continue on track tomorrow. No homework tonight.

September 25th, 2018: We continued the theme of Rolles's Theorem today and applied the same concept to the Mean Value Theorem. The assignment is p.175)39, 40, 42-46.

September 24th, 2018: Today's topic was Rolles's Theorem. We discussed the importance of confirming all 3 conditions before attempting to solve for "c". The assignment is p.174) 9, 12, 14, 15, 18, 21.

September 21st, 2018: We finished our discussion on extrema over a closed interval. The assignment is p.162) 11, 14, 16, 19, 24, 27, 30, 33. Also, we had cookies again. I made chocolate brownie cookies. That is all.

September 20th, 2018: We began chapter 3 today. The topic was extrema over an interval and we were only able to get through half of the two-day lesson. As such, there is no homework tonight.

September 19th, 2018: This was the second of two days for the Chapter 2 Test.

September 18th, 2018: This was the first of two days for the Chapter 2 Test.

September 17th, 2018: Today we reviewed the practice test in preparation for the Chapter 2 Test tomorrow. Once again, the practice test and worked-out solutions are available on this website.

September 14th, 2018: Thanks to the Homecoming preparations, we had about half of the class absent again today. We just played some Jeopardy and ate cookies (Lemon). I also put the practice test online in preparation for next week's exam.

September 13th, 2018: As expected, we need some more time on related rates. I have cancelled the assignments originally set for today and tomorrow and will instead just review homework.

September 12th, 2018: Today was our last day on Related Rates. There were some definite challenges today and we may just take tomorrow to go back over tonight's homework. The assignment is p.155) 27, 28, 29, 31.

September 11th, 2018: The topic of the day was related rates again. We expanded our examples to include several that used triangles (Pythagorean Theorem, Similar Triangles, Trig Functions, Area, ...) and their formulas. I assigned p.154) 20, 21, 24, 26.

September 10th, 2018: We began the study of related rates today. I did two of the assigned problems completely and then got the other three started for the students. The assignment is p.153) 11, 14, 15, 16, 18.

September 7th, 2018: Due to low attendance (because of the unfounded threat), we reviewed last night's homework but did not move forward into the new section. However, we did have a successful cookie day with seven different varieties. I brought butterscotch toffee pecan cookies. They were yummy.

September 6th, 2018: After a slight discussion detour at the beginning of class, we continued talking about using implicit differentiation. We also discussed the advantages of point-slope form when writing the equation of a tangent line. I assigned p.145-146) 30, 31, 34, 37, 46, 47, 55-58 nut we didn't do many examples in class. We will look at the assignment in more detail tomorrow.

September 5th, 2018: Implicit Differentiation was the topic of the day. We discussed the difference between implicit and explicit, and the techniques for solving each. I assigned p.145) 1, 4, 7, 10, 15, 21, 26, 27.

September 4th, 2018: We finished our discussion on the chain rule, this time focusing on trigonometric functions and derivatives at a point. I assigned p.136) 43, 48, 51, 55, 32, 35, 38, 71.

August 31st, 2018: First and most importantly, it was the second weekly cookie day. Once again I was the only person to bring cookies. They were French Macarons made with vanilla, chocolate, and raspberry filling. We also did math. We covered the chain rule for derivatives and practiced a few problems from homework. I assigned p.136) 7, 12, 18, 21, 26, 29, 34 to be turned in Tuesday.

August 30th, 2018: We practiced some more with the product and quotient rules today and then talked about higher order derivatives. I assigned p.125-127) 34, 35, 39, 45, 54, 79, 92, 97, 105, 106. Don't forget that tomorrow is cookie day!

August 29th, 2018: The Product Rule and the Quotient Rule were the topics of the day. While we did go over some of the homework problems together, I left about half for students to do on their own. The complete assignment was p.125) 1, 4, 6, 7, 8, 11, 13, 16, 18, 19, 22.

August 28th, 2018: We continued our discussion on using the power rule for derivatives. Today, that included finding the slope of a tangent line at a specific point, locating where a function has horizontal tangent lines, and completing a function so that a given line is tangent to it. I assigned p.114-115) 34, 37, 58, 61, 64, 65 and we did most in class together.

August 27th, 2018: We discussed Section 2.2. It included the power rule for derivatives, various basic derivative properties, and the derivatives of sine and cosine. I assigned p.114-115) 3, 6, 8, 13, 20, 23 and then gave students time in class to complete them. I then spent the last five minutes answering specific questions from the homework.

August 24th, 2018: The period began with the celebration of our first inaugural Friday Cookie Day. Despite only one kind of cookie being present, everyone seemed to enjoy them. I'll call it a success. We then began chapter two by defining what a derivative is in terms of limits. The assignment involved using limits to find the derivative of a number of different functions. It was p.103) 5, 8, 9, 14, 17, 20.

August 23rd, 2018: We took the Chapter 1 Test. If any student needs extra time, they can come by after school, before school, or lunch time.

August 22nd, 2018: (SUBSTITUTE DAY) Students reviewed the practice test and were instructed to study the worked-out answers online. The Chapter 1 Test is tomorrow.

August 21st, 2018: We did section 1.5, spending most of the class discussing infinite limits as vertical asymptotes. I assigned p.88) 2, 5, 8, 10, 15, 18, 26, 29, 31, 36, 43, and we did most of it in class together. After class, I put the practice test and answers online. They can be found here. Finally, we established that Fridays would henceforth be known as Cookie Days.

August 20th, 2018: We finished our discussion of section 1.4, including the formal definition of the Intermediate Value Theorem. I assigned p.79-80) 35, 38, 43, 49, 52, 57, 65... but we did them all in class together.

August 17th, 2018: We finished yesterdays notes and then talked about continuity and one-sided limits. I assigned p.79) 2, 3, 6, 9, 12, 14, 31, 34 for homework over the weekend and we went over most of them in class.

August 16th, 2018: We worked on section 1.3. Solving limits analytically (algebraically) is a more accurate way to handle the problems. The tips were to either substitute, simplify and then substitute, or use a conjugate to simplify and then substitute. I assigned p.67-68) 5, 16, 22, 26, 32, 37, 41, 46, 48, 52, 53, 60 for homework. Problems 63 and 71 are also a part of the assignment but I will go over them tomorrow.

August 15th, 2018: We did work from section 1.2. Using calculators, we learned how to approximate limits numerically. We also learned how to find limits graphically. I assigned p.55-56) 1, 5, 10, 14, 16, 18, 20, 24, 25 to be turned in tomorrow.

August 14th, 2018: I talked about the material from section 1.1. It concerned what we can do with precalculus and what we need calculus for. There was no classwork or homework.

August 13th, 2018: We introduced ourselves and went over the class syllabus. We then filled out note cards with personal information and goals. I handed out blank tiles for students to decorate and return by Friday. There was no classwork or homework.