We're starting our first unit of new content: integral calculus. Before we jump into learning about antiderivative, we will review our knowledge about derivatives.
Thursday, 9/19 & Friday, 9/20 - we're reviewing our knowledge of derivatives. Here are the slides from class. Here are the problems we're using in class to review our knowledge of derivative techniques and derivative applications. Your HW is in your textbook: Ch.15 Practice Questions (p. 762) #4, 7, 10, 14, 16, 40 (due Monday). Remember that you can find screenshots of your HW problems on the last slide of the class slides. However, make sure you know where your textbook is, or else you owe the school money.
Monday, 9/23 - we were introduced to the idea of an antiderivative and found some simple antiderivatives. Here are the slides from class. Your HW is Ex. 16.1 (p. 780) #1-6.
Tuesday, 9/24 - we used some common formulae for common antiderivatives. Here are the slides from class. Your HW is Ex. 16.1 (p. 780) #7-10 & #16-19.
Wednesday, 9/25 - we practiced finding antiderivatives. Here are the problems we tried in class. You should finish for HW.
Thursday, 9/26 - we learned the method of substitution that helps us undo the chain rule when finding antiderivatives. Here are the slides from class. Here is the guided worksheet from class. Your HW problems, found in your textbook are: Ex. 16.1 (p. 780) #21-42 multiples of three. These problems are difficult, so here are the worked solutions to these problems to help you out if you need it.
Friday, 9/27 - we practiced using the method of substitution to find antiderivatives by undoing the chain rule. Here are the slides from class. Here is the guided worksheet from class. Your HW is Ex 16.1 (p. 780) #25, 26, 34, 38, 41, 44, 48, 49, which are also printed for you on your sheet. These problems are difficult, so here are the worked solutions to these problems to help you out if you need it. Also, don't forget your mind map due after the long weekend on Wednesday.
Monday, 9/30 & Tuesday, 10/1 - it's Rosh Hashanah and we didn't have school.
Wednesday, 10/2 - we learned the method of integration by parts. Here are the slides from class and here is the guided worksheet from class which includes your HW, which is Ex. 16.2 (p. 786) #5-7, 9, 11.
Thursday, 10/3 - Mr. Lao is absent from school, but you practiced a variety of integration problems, paying attention to which method you have to use. Here are the problems from class.
Friday, 10/4 - we used integration by parts in problems which required two applications of this method. Here are the slides from class and here is the guided worksheet from class, which includes extra practice problems found in your textbook: Ex. 16.2 (p. 786) #2, 3, 8, 10, 19.
Monday, 10/7 - We practiced all kinds of integration problems, especially when we're not told which method to use. Here are the problems from class.
Tuesday, 10/8 - We practice even more integration problems. Here are the problems from class.
Wednesday, 10/9 - It's Yom Kippur and we didn't have school.
Thursday, 10/10 - we have our exam on finding antiderivatives.