The **C**omputer-**A**ided **M**athematics **C**ollaborative **L**earning **E**nvironment (CAMCLE) is intended for students who need to pass MATH 71 or Math 72 for their major. Participants in the program will enroll in one of the following courses:

**Math 006C** College Algebra Essentials (an alternative to Math 006A.)

**Math 050C** Precalculus Essentials (an alternative to Math 050.)

**Math 070C** Calculus I Readiness (for students who withdraw from Math 71 and prior to retaking the course.)

**Math 071B** Bridge to Calculus II (for students who need to learn several topics necessary for Math 72.)

**Math 071C** Calculus II Readiness (for students who withdraw from Math 72 and prior to retaking the course.)

Students enrolling in CAMCLE will be work semi-independently on several modules. Within each segment of a module, the student will be required to view selected **videos** and proceed to an on-line assignment at Webassign.net. The student will then **collaborate** with other students and a student tutor on a task designed to promote verbalizing and solidifying mathematical reasoning, concepts, and skills. The student will take an **assessment** to determine the level of mastery of the material in the segment and readiness to move to the next segment. The student will also meet regularly with the CAMCLE Director to assess progress.

For more information, see the FAQ.

If you wish to inquire about enrolling, please email Prof. David Wayne at David.S.Wayne@hofstra.edu or call (516) 463-7421.

### Module A: Basics of Algebra and Solving Equations

Solving Polynomial Equations; Solving Equations with Rational Expressions; Solving Equations with Radical Expressions; Solving Inequalities; Solving a System of Equations

### Module 1: Basics of Calculus Readiness

Algebraic Readiness for Calculus; Understanding of Functions; Composition of Functions; Graphs of Typical Functions; Transformations of Functions

### Module 2: Fundamentals of Trigonometry

Circular Definition of the Trig Functions; Trigonometric Identities and Relationships*; Graphs of Sine, Cosine, and Tangent Functions; Transformations of the Graphs of Trigonometric Functions; The Graphs of Reciprocal Trigonometric Functions; Use of Inverse Trigonometric Functions*; Applications of Right Triangle Trigonometry; Areas of Triangles and the Laws of Sines and Cosines; Solving Trigonometric Equations*

### Module 3: Modeling with Mathematics

Translating Common Situations to Mathematical Equations or Inequalities to Solve; Creating Functions That Model a Situation and Interpreting Their Graphs; Identifying Extreme Values of a Situation Based on the Graph of a Modeling Function; Translating Problems Involving Rates into Mathematical Models

### Module 4: The Foothills of Calculus

The Limit of a Function as x Approaches a Constant; The Limit of a Function as x Approaches Infinity; Recognizing the Continuity of a Function at a Point or Over an Interval: Identifying Vertical and Horizontal Asymptotes; Average versus Instantaneous Rate of Change of a Function; The Definition of the Derivative of a Function including Sine and Cosine*; Tangent Lines*

### Module 5: Beyond Calculus Readiness

The Power Rule, Product Rule, and Quotient Rules for Derivatives; The Chain Rule for Differentiating a Composition of Functions; Finding Extreme Values of a Function; The Mean Value Theorem; Implicit Differentiation; Solving Related Rate Problems

### Module 6: Getting Ahead in Calculus

Finding Antiderivatives; U-substitution; The Fundamental Theorem of Calculus; Applications Making Use of Definite Integrals; Approximating the Area under a Curve; Finding the Exact Value of the Area Bounded by Two Curves

### Module 7: The Foothills of Calculus II

Working with Expressions & Equations Involving Exponential Functions; Inverse Functions; Understanding the Logarithm as an Inverse to Use When Solving an Exponential Equation; Understanding Exponential Functions; The Logarithm Function as an Inverse Function

### Module 8: Getting Ahead in Calculus II

Derivatives & Integrals including Exponential Functions; Derivatives & Integrals including Logarithmic Functions; Derivatives & Integrals including Inverse Trigonometric Functions; Sigma Notation; Geometric Sequences & Series

## Frequently Asked Questions

- Can I enroll in MATH 70C while remaining in MATH 71 or 72?
- No, for the time being. The program has been designed to serve those students who realize that their knowledge of requisite material and mathematical awareness is not sufficient to pass or to do well in the course.
- Is this a graded course for credit?
- Yes. This is a P/F (pass/fail) course. A "P" will be given upon the student making a serious effort and showing progress in learning the content assigned. If you are an Option A student, you can earn 1 or 2 credits depending upon how many modules you complete and having earned a P. Option B students earn 2 credits, and Option C students earn 1 credit.
- Up until what date can I enroll in MATH 70C?
- Option A students have enrolled as late as 2/3 into the semester. Students who do not complete enough work to earn a credit can work through the winter intersession, the summer sessions, or the next semester to complete the necessary work. If you do not complete enough work for a P, you will be given an I (incomplete) and have until the end of the next semester to finish. If you do not finish, the grade will become an F. Option B and C students follow the academic calendar for all undergraduate courses.
- What if I start and then wish to withdraw?
- You can only withdraw up to the University designated date for the semester. If you begin late in the semester, you will be in it for a P or an F. This class follows the dates for mid-semester classes.
- Are there fees for this class?
- Tuition and fees will be assessed or not assessed as is University policy regarding your enrollment and financial status and current course load. Option A students enroll for 1 credit and, if sufficient work is done, that will be changed administratively to 2 credits.
- Does this class meet regularly?
- This class is semi-independent including regular meetings with a student tutor and Director of the program. The content of the course is found on Canvas and you will be guided through instructional videos and assignments on WebAssign.
- Are there graded assignments and exams?
- The course is divided into modules, and each module is divided into segments covering one or two related topics. Within each segment you will have ungraded on-line assignments on WebAssign allowing for unlimited submissions of responses. You will also have a person-to-person collaborative assignment to be done with the student tutor and perhaps with another student. Your understanding of the material in the segment is determined by a short assessment which is graded. Generally, you should achieve a score of approximately 80% in order to move to the next segment, although a verbal review with the Director may allow you to proceed with a lower score.
- What if I score poorly on a segment's assessment?
- There are additional materials for the segment that you can make use of and take another assessment.
- Do I have to complete all the modules and segments?
- Option A students have to complete Modules 1 and 2 which will provide you with a solid grasp of the needed knowledge to understand work that will be presented in MATH 71. Most students who have earned 1 credit completed only these modules. Based on discussions with the Director, some students have been able to pass over some segments within the modules. Modules 3 and 4 are designed to give you some general awareness of what is usually seen at the beginning of MATH 71. Modules 5 and 6 cover the essential topics at the heart of the entire MATH 71 course. Modules 5 and 6, however, are essential in order to be prepared for MATH 72 as well as some of the topics in earlier modules. Modules 7 and 8 will give you some general starting points for topics at the core of the course. Option B complete Modules A, 1, and 2 which cover typical and essential Precalculus material. Modules 3, 4, and 7 would further their readiness for Calculus. Option C students complete various segments in Modules 2, 4, 5, 6, and 8 to review Calculus I material and ready them for Calculus II.
- What if I find that I am still not doing well in MATH 71 or 72 when I retake the course?
- The MATH 70C course that you had enrolled in will remain open and you can revisit the materials. If you wish to spend time with a CAMCLE student tutor, you can speak to the Director. You can also visit the Math Tutoring Center.