MATH& 152 Calculus II (5 credits)

2. Evaluate definite integrals numerically using Riemann sums and exactly using the Fundamental Theorem of Calculus.  

3. Implement the appropriate integration techniques to evaluate both definite and indefinite integrals, applying methods including u-substitution, integration by parts, and partial fractions.   

4. Solve applied integration problems including finding areas between curves, volumes of solids, arc length, average value, work, mass, and quantities used in kinematics, and effectively communicate the solutions in context.  

5. Determine the convergence of improper integrals and evaluate them when possible.  

6. Solve simple first order differential equations and initial value problems using antidifferentiation, direction fields, Euler’s method, and separation of variables.

 

Degree Outcomes
Quantitative & Symbolic Reasoning: Graduates utilize mathematical, symbolic, logical, graphical, geometric, or statistical analysis for the interpretation and solution of problems in the natural world and human society.

Critical, Creative and Reflective Thinking: Graduates will evaluate, analyze, synthesize, and generate ideas; construct informed, meaningful, and justifiable conclusions; and process feelings, beliefs, biases, strengths, and weaknesses as they relate to their thinking, decisions, and creations.

Effective Communication: Graduates will be able to craft and exchange ideas and information in a variety of situations, in response to audience, context, purpose, and motivation.

Lecture Contact Hours 50
Lab Contact Hours 0
Clinical Contact Hours 0
Total Contact Hours 50

Potential Methods
1. Written or Online Homework
2. Group Activities or Discussions
3. Presentations
4. Peer review
5. Projects
6. Quizzes or Exams