Test Preview

Text: G.B. Thomas, Jr., M.D. Weir, and J. Hass, Thomas' Calculus. Early Transcendentals, 13th Edition, 2014.

Test Preview Help Session:

Tuesday, October 11, 3:00-4:00 pm, HL202

Basic Skills Review:

Tuesday, October 11, 7:00- pm, AK116

General information:

Closed-book & closed-notes event. Calculators are not allowed. The Exam consists of two parts (similarly to the Common Final in MA1021 in A'15):

(1) Basic Skills Component
(2) General Exam Component

In (1), there is no partial credit on the problems; only final answer is graded, and binary grades (solved/not solved = yes/no = 5/0) are used. On the general part, your work and your explanations are graded, not just the final answers.

Contents:

(1): 7 integrals

(2):

1. Evaluation of limits
2. Finding the derivative through the definition
3. Finding the derivative through implicit differentiation
4. Problem involving related rates
5. Analysis of functions using the derivatives: min/max, concavity, sketching the curves
6. Applied optimization problem
7. Evaluation of the derivatives through the differentiation rules

Sample problems:

• MA1021 Common Final, A'14 Term (PDF)
• MA1021 Common Final, A'15 Term (PDF)

General information:

50 min written exam. No laptops, gadgets, tablets, smartphones, calculators, etc.

Subject:

The Derivative - the basics (Chapter 3).

The concepts which should be under your unconditional control:

• Definition of the derivative
• Differentiation rules for algebraic, trigonometric, logarithmic, exponential, inverse trigonometric functions
• The Chain Rule
• Differentiation rules combined with the Chain Rule
• Logarithmic differentiation
• Implicit differentiation
• Derivative as a rate of change; relate rates
• Linear approximation with the derivative

Contents:

1. Finding the derivatives of a function via the definition.
2. Finding the derivatives of functions (7 problems).
3. Finding the derivatives by implicit differentiation.
4. Solving a problem involving related rates.
5. A bonus.

Sample problems:

1. 3.2: ## 1 - 12
2. 3.3: ## 17 - 40; 3.5 ## 1 - 32; 3.6: ## 9 - 70; 3.8: ## 11 - 40; 3.9: ## 21 - 42
3. 3.7: ## 1 - 20
4. 3.10: ## 20 - 42

General information:

50 min written exam. No laptops, gadgets, tablets, smartphones, calculators, etc.

Subject:

Calculus preliminaries (Chapters 1 & 2).

The concepts which should be under your unconditional control:

• Function; domain and range.
• Combination of functions. Composition of functions.
• Graphs of equations/functions.
• Power functions; polynomials; rational functions.
• Trigonometric functions; exponential functions; logarithmic functions.
• Tangent line; slope.
• The limit concept. The limit laws. Evaluation of limits; techniques of limit evalutation.
• Trigonometric limits. One-side limits; infinite limits.
• Continuity of functions.

Contents:

1. Determining the domain of a function.
2. Sketching a graph of a function (3 quesitons).
3. Finding a composite function (2 questions).
4. Finding a slope of a function.
5. Determining where a function is continuous.
6. Evaluating limits of rational, trigonometric, algebraic functions (5 questions).
7. A bonus.

Sample problems:

1. 1.1: ## 1 - 6
2. 1.1: ## 15 - 20
3. 1.2: ## 7 - 10
4. 2.1: ## 7 - 14
5. 2.5: ## 13 - 30
6. 2.2: ## 11 - 22; 2.2: ## 23 - 42; 2.2: ## 43 - 49; 2.4: ## 21 - 42; 2.6: ## 23 - 36

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Last modified: Tue, Oct 11, 2016