General Mathematics I

Recommended Prerequisites

Mathematics of the 12th year  of secondary school.  

Teaching Methods

TP classes are expositive where a rigorous treatment of subject is presented with concepts and proofs. In P classes an active participation of students in class.  Discussions and presentations of individual and team work is encouraged.

Learning Outcomes

To provide the students with basic knowledge of differential and integral calculus for real functions of a real variable. They should be aware how to solve differential equations and apply this knowledge in modelling and solving problems. The relevance of the results presented in the context of applications should be emphasized.

The course aims to develop the following skills: analysis and synthesis, organization and planning, oral and written communication, problem-solving and computational ability. On the personal level it also allows to develop self-learning skills and independent thinking.

Work Placement(s)

No

Syllabus

Real functions of one real variable
· Limit, continuity and derivation.
. Indefinite integral.
· Definite integral and applications.
· Improper Integral.
. First order differential equations: separable variables and linear equations.
. Linear differential equations of higher order.

Head Lecturer(s)

Carlota Isabel Leitão Pires Simões

Assessment Methods

Continuous evaluation
Resolution Problems: 10.0%
Mini Tests: 30.0%
Frequency: 60.0%

Final evaluation
Exam: 100.0%

Bibliography

[1] Larson, Hostetler, Edwards ,  Cálculo, Volume I, 8ª ed., McGraw-Hill , 2006.

[2] Stewart, J., Cálculo, Volume I, Pioneira Thomson Learning, 2006.

[3] Zill, Dennis G, Equações diferenciais -- Modelos matemáticos,: Thomson, 2003.