Basic functions; their properties and applications to modeling. Rate of change, limit, derivative and linear approximation. Computational techniques. Local and global extrema. Applications to optimization problems. The definite integral. Antiderivatives and the Fundamental Theorem of Calculus. Integration techniques. Improper integrals. Applications.

### Calculus I (MATH 101)

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Programs\Type | Required | Core Elective | Area Elective |

BA-Cultural Studies | |||

BA-Cultural Studies | |||

BA-Economics | |||

BA-Economics | |||

BA-International Studies | |||

BA-International Studies | |||

BA-Management | |||

BA-Management | |||

BA-Political Sci.&Inter.Relat. | |||

BA-Psychology | |||

BA-Social & Political Sciences | |||

BA-Visual Arts&Visual Com.Des. | |||

BS-Biological Sci.&Bioeng. | |||

BS-Computer Science & Eng. | |||

BS-Computer Science & Eng. | |||

BS-Electronics Engineering | |||

BS-Electronics Engineering | |||

BS-Manufacturing Systems Eng. | |||

BS-Materials Sci. & Nano Eng. | |||

BS-Materials Science & Eng. | |||

BS-Mechatronics | |||

BS-Mechatronics | |||

BS-Microelectronics | |||

BS-Molecular Bio.Gen.&Bioeng | |||

BS-Telecommunications |

### CONTENT

### OBJECTIVE

To teach fundamental notions of calculus in single variable.

### LEARNING OUTCOME

Understand and use basic properties of elementary functions

Understand the idea of limit analytically/graphically, and evaluate limits

Understand the definition of derivative and its geometric meaning

Compute derivatives using standard differentiation techniques

Apply the notion of derivative graphing and optimization problems

Understand the definition of definite integral and its geometric meaning

Compute integrals using standard integration techniques

Understand the idea of integration over unbounded intervals and compute them.

### Update Date:

### ASSESSMENT METHODS and CRITERIA

Percentage (%) | |

Final | 24 |

Midterm | 48 |

Exam | 20 |

Participation | 5 |

Homework | 10 |

Other | 3 |

### RECOMENDED or REQUIRED READINGS

Textbook |
Calculus Single and Multivariable, 6th Edition, Hughes-Hallett, Gleason, McCallum et al, Wiley. For online homeworks, students must have a personal account on wileyplus.com . New students should purchase the book together with the access code. |

Course Web | sucourse |