# MATH 1020: Calculus I (NEW)

### Calculus I Course Overview

• MATH 1020 is a four-credit calculus course that focuses on single variable calculus through graphical, analytical, and numerical techniques. Differentiation and its applications are thoroughly discussed. Basic integration techniques are introduced. Mathematical manipulation and computational competence is equally weighted with the ability to analyze, evaluate, synthesize and form accurate decisions using relevant information in applied settings.

*This course is considered an upper-level undergraduate course (300 level or above)

### Calculus I Course Outcomes

• Apply the core concepts of differential and integral calculus to solve problems in Calculus 1:
• Limits and Continuity: Graphical interpretation, numerical approximation, limit laws, Squeeze Theorem, Intermediate Value Theorem, tangent and velocity problems, L’Hopital’s rule
• Derivatives: Formal definition of a derivative, Delta – Epsilon proofs, differentiation rules, trig formulas, chain, product and quotient rules, implicit and logarithmic differentiation
• Applications of the derivative: Rates of change, related rates, Mean Value Theorem. curve sketching, local and absolute extrema, optimization, linear approximations, Newton’s method.
• Integrals: Approximating areas, antidifferentiation, Riemann sums, Fundamental Theorem of Calculus, definite and indefinite integrals, substitution methods
• Applications of Integration: Area under and between curves, volumes of revolutions, arc length, work, hydrostatic force, moments and centers of mass, exponential growth and decay models, hyperbolic functions
• Utilize numerical, graphical, analytical and approximation models in pure and applied settings.
• Develop visual literacy of mathematical concepts through graphical analysis.
• Communicate mathematical concepts and apply complex symbolic representation in written, verbal, and technological settings.
• Develop the ability to identify and apply multiple mathematical problem-solving techniques for a specific situation.
• Gain introductory level knowledge appropriate to a single variable calculus course of  mathematical definitions and proofs of key theorems

### Calculus I Course Prerequisites

• One semester of college-level precalculus (MATH 1011)

*Please note these prerequisites are highly suggested and support course preparedness and success. We recommend having completed the listed prerequisites before enrolling and within the past seven years.

### How do exams work?

All exams are taken online. Major exams are required to be proctored online through ProctorU. For instructions on how to take your exams online, visit UNE Online’s ProctorU site. Please note exams must also be proctored with the UNE-approved external webcam.

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### How do labs work?

• MATH 1020 is a lecture-only course. We do not offer an associated lab component for this course.
Tuition & Fees

### MATH 1020: Lecture

\$1,670

• Credits: 4
• Tuition: \$1,640
• Registration: \$30
• Total: \$1,670 (Total payment is due in full at the time of registration)

*The cost of the materials is not included in this total

### Required course materials

• Mandatory External Webcam and Whiteboard for Proctored Exams
• Textbook:
• Lab Materials:
• MATH 1020 is a lecture-only course. We do not offer a lab component and therefore no lab materials are needing to be purchased.
As a Reminder
 Complete at Your Own Pace within 16 weeks 24/7 Online Registration Courses Typically Begin Every Two to Three Weeks Working at the pace typical for a four-semester hour course, the average student will complete this online course in approximately 16 weeks. Many students have elected an online course for the sake of flexibility. Since the course is self-paced, you may be able to complete the course in less than 16 weeks. You may enroll for a course at any time through our self-service registration portal. Payment is needed in full at the time of registration. You must be registered for your class by 12:00 noon EST the Monday before the class starts. Your official start date is the date that the course opens and you will have 16 weeks from that date to complete your course.