# Resources

## Resources for Practice and Review for Math Placement

1. The most important tool for reviewing and practicing for math placement is the *ALEKS Placement, Preparation and Learning* program. This is part of the math placement program used by MUM for the courses:

- Math 051 Basic Mathematics
- Math 152 Elementary Algebra
- Math 153 Intermediate Algebra
- Math 161 Functions and Graphs 1
- Math 162 Functions and Graphs 2

A 6-month ALEKS PPL Module is included with your math placement assessment package, and is covered by your tuition fees. You are strongly advised to use this means of reviewing and practicing for math placement. The initial assessment is not proctored and can be taken anywhere from a computer with Internet access. You are given a personalized program of study based on your initial math placement assessment results. After studying in this program for some time, you are free to come for up to 4 proctored re-assessments to try to place higher. Please see the Guide to ALEKS PPL Math Placement for complete details and how to gain access to this program.

2. To review and practice for the courses:

- Math 281 Calculus 1
- Math 282 Calculus 2

you will need to use other resources. We suggest you try one of the following books available from the MUM Library for Calculus 1. The chapters to study for Calculus 1 are given.

**Important Advice**: Don’t just start reading a book! You won’t get very far if you do. First work through the relevant chapter reviews and chapter tests. Only then read the sections of the book pertaining to problems you had trouble with. The key to doing well on the test is to work problems, work problems, work problems.

**For Calculus 1:**

- Hughes-Hallett/Gleason: Calculus: Single Variable, Chapters 1 – 4. Preliminary edition: QA 303 .C155 1992; First edition QA303 .C155 1994; Second edition: QA 303 .C155 1998.
- Ayres: Schaum’s Outline of Theory and Problems of Differential and Integral Calculus, Chapters 1 – 7, 12 – 14, 21, 23, 24. QA303 .A9 1978
- Ayres/Mendelson: Schaum’s Outline of Theory and Problems of Differential and Integral Calculus, Chapters 5 – 13, 17, 18, 21 – 24. QA303 .A96 1999
- Clarke: Calculus and Analytic Geometry, 1974, Chapters 1 – 4, 7. QA303 .C6
- Leithold: Essentials of Calculus for Business, Economics, Life Sciences, Social Sciences, Chapters 1 – 3, 7.1 – 7.5. QA303 .L4295 1984
- Riddle: Calculus and Analytic Geometry. 1970, Chapters 5 – 6.3, 7.3 – 8.6, 11.1 – 11.2, 12.1 – 12.3. QA 303 .R53.
- Taylor: Calculus, with Analytic Geometry, 1959, Chapters 1 – 3.6, 4.1 – 4.4, 5, 6. QA303 .T203
- Thomas: Calculus and Analytic Geometry, Third edition. Chapters 1 – 3.4, 3.8, 4.1 –4.9. QA303 .T42 1960
- Thomas/Finney: Calculus and Analytic Geometry, Fifth edition. Chapters 1 – 3.4, 3.8, 4. QA303 .T42 1979.

**For Calculus 2**, you will need to study in addition:

- Hughes-Hallett/Gleason: Calculus Single Variable, Chapters 5 – 8.

The other books listed above for Calculus 1 are also useful for Calculus 2. You would need to cover in those books the same topics as given for the Hughes/Hallett book at the top of the Calculus 1 list above.

3. If you wish to use a book for studying **Basic Math, Elementary Algebra, or Intermediate Algebra**, we recommend:

- McKeague: Elementary Algebra, Fifth Edition, 1995, Chapters 1 – 5. QA152.2 .M32 1995. Other editions are also extremely useful. The first couple chapters give a brief but very useful review of Basic Math.
- McKeague: Intermediate Algebra, Fifth Edition, 1995, Chapters 1 – 8. QA154.2 .M43 1995 Other editions are also extremely useful.

4. For **Functions and Graphs 1,** we recommend:

- Connally/Hughes-Hallett/Gleason: Functions Modeling Change, First Edition, Chapters 1 – 5. QA331.3 .F86 2000 or Preliminary Edition, Chapters 1 – 4, 7. QA39.2 .C6 1998.

5. For **Functions and Graphs 2,** we recommend:

- Connally/Hughes-Hallett/Gleason: Functions Modeling Change, First Edition, Chapters 1 – 9. QA331.3 .F86 2000 or Preliminary Edition, 1998, Chapters 1 – 7. QA39.2 .C6 1998

6. **Other online resources** you may find useful for various levels are

- Purple Math
- Khan Academy provides worked examples and lectures on all the topics.
- YouTube has a wide selection of videos on math topics.