MATH 1LT3 * TERM TESTS * IMPORTANT INFORMATION

* Tests will be in person and held during our regularly scheduled class time (7pm - 8pm, with lecture following at 8:30pm)

* If you think you will miss, or you did miss a test for any reason, read about the academic missed work policy and access the self-reporting tool here. Please note that no make-up tests are given.

* Calculator allowed on tests: McMaster Standard Calculator, Casio fx991MS or Casio fx991MS PLUS

* For additional information about tests, see the frequently asked questions page.

Material covered on Test 2: sections 4, 5, 7, 9, and 10 from the Functions of Several Variables module; sections 1, 2, 3, 4, and 5 from the Probability and Statistics module

A few things about the test:

(1) The test will include 4 multiple choice questions (worth 2 points each) for which you do not need to show your work. The majority of test questions will be "complete solution" questions for which you must show your work to obtain full marks.

(2) Which formulas do I need to know? Rule of thumb: math formulas that were discussed in class, or appear in assignments, or sample tests you need to know. FUNCTIONS OF SEVERAL VARIABLES MODULE: You need to know all differentiation formulas (from 1LS3 calculus) as they are used in sections 4, 5, 7, 9, and 10; tangent plane (top of p. 53), linearization and linear approximation (definition 12 on p. 54); differentiability (theorem 6 on p. 58); directional derivative (definition 16, p. 98 and Theorem 14, p. 101), gradient vector (definition 17, p. 102; theorem 15, p. 104 and theorem 16, p. 106); formula for D which is used in the second derivaives test (p. 119). PROBABILITY AND STATISTICS MODULE: formulas in theorem 2 (p. 28), Theorem 3 (p. 29), Theorem 4 (p. 31), conditional probability (definition 12, p. 38), law of total probability (theorem 5, p. 44), Bayes' Formula (theorem 6, p. 46), independent events (definition 14, p. 52). Formulas related to applications, will be given on a test, as needed.

To Prepare:

(1) Study your lecture notes. You should be able to explain in words (both formally and in general terms) the concepts we've been studying in addition to being able to do the problems without looking at solutions. For each concept (for example, 'gradient vectors'), cover up your notes and see if you can explain it in your own words, as if you were talking to a friend. What is the general idea of what we're doing? Why is it important? How does it fit into the bigger picture of what we're studying? What kinds of questions/applications/problems follow from this concept? Try imagining teaching someone else the concept, or presenting it to a classmate, to gain a different (higher?) perspective of the topic and to help think about the bigger picture of what you're doing.

(2) Study the exercises and activities that we did during lectures. For each exercise, cover up the solution and imagine you are looking at that question on your test. Can you describe how to do it? Ask yourself questions like "What is this question asking me to do? How do I start? Are there any special tricks or cases to remember that will help me?" Then either talk yourself through the problem if you are fairly confident you know how to do it and/or redo the problem if you find that writing helps you to learn, or review your notes if you cannot answer your own questions. Afterwards, study the solutions. When you look at solutions, pay attention to how solutions are written. It will help you figure out how much you need to write when you will be answering test questions.

(3) Study childsmath assignments 2, 3, 4 and, if needed, go over some extra practice questions from the textbook. As mentioned above, try to cover up the answers and talk yourself through the solution. Redo any problems you feel you need to (for example, any problems which took you several tries to get correct).

(4) Practice writing sample tests without using your notes...| test 2 from summer 2017. Attempt to write the tests without looking at your notes or reading solutions. You can find solutions here. Remember to communicate your answers well and include enough details so that the marker can follow your logic. When you are done, evaluate your own test critically using the posted solutions. Pay attention to how solutions are written. It will help you figure out how much you need to write when you will be answering test questions.

(5) Use the Math Help Centre for additional help, ask classmates for help (you can use our MS Teams Group Chat if you wish, or come to your instructor's(virtual) office hours).

Material covered on Test 1: sections 8.1 - 8.7 in the Geese textbook (you will also need to understand concepts in 7.1, 7.2, and 7.5 (covered in 1LS3) although there will be no questions taken explicitly from these sections); sections 1, 2, and 3 from the Functions of Several Variables module

A few things about the test:

(1) The test will include 4 multiple choice questions (worth 2 points each) for which you do not need to show your work. The majority of test questions will be "complete solution" questions for which you must show your work to obtain full marks.

(2) Which formulas do I need to know? Rule of thumb: math formulas that were discussed in class, or appear in assignments, or sample tests you need to know. Formulas related to applications, will be given on a test, as needed. Take a look at the sample tests (see below under (3)) and you will notice that very little memorization is required. It is important you know how to interpret and work with a formula or an equation that is given in a question. For example, a question might give you a formula for the logistic growth model but you will have to identify what the constants in the model represent (for example, carrying capacity). Or, you might be given the solution to a logistic differential equation, but then you need to know how to work with it.

To Prepare:

(1) Study your lecture notes. You should be able to explain in words (both formally and in general terms) the concepts we've been studying in addition to being able to do the problems without looking at solutions. For each concept (for example, 'Stability Theorem'), cover up your notes and see if you can explain it in your own words, as if you were talking to a friend. What is the general idea of what we're doing? Why is it important? How does it fit into the bigger picture of what we're studying? What kinds of questions/applications/problems follow from this concept? Try imagining teaching someone else the concept, or presenting it to a classmate, to gain a different (higher?) perspective of the topic and to help think about the bigger picture of what you're doing.

(2) Study the exercises and activities that we did during lectures. For each exercise, cover up the solution and imagine you are looking at that question on your test. Can you describe how to do it? Ask yourself questions like "What is this question asking me to do? How do I start? Are there any special tricks or cases to remember that will help me?" Then either talk yourself through the problem if you are fairly confident you know how to do it and/or redo the problem if you find that writing helps you to learn, or review your notes if you cannot answer your own questions. Afterwards, study the solutions. When you look at solutions, pay attention to how solutions are written. It will help you figure out how much you need to write when you will be answering test questions.

(2) Study childsmath assignments 0, 1, 2 and, if needed, go over some extra practice questions from the textbook. As mentioned above, try to cover up the answers and talk yourself through the solution. Redo any problems you feel you need to (for example, any problems which took you several tries to get correct).

(4) Practice writing sample tests without using your notes...| test 1 from summer 2017. Attempt to write the tests without looking at your notes or reading solutions. You can find solutions here. Remember to communicate your answers well and include enough details so that the marker can follow your logic. When you are done, evaluate your own test critically using the posted solutions. Pay attention to how solutions are written. It will help you figure out how much you need to write when you will be answering test questions.

(5) Use the Math Help Centre for additional help, ask classmates for help (you can use our MS Teams Group Chat if you wish, or come to your instructor's(virtual) office hours).