Campus Europe-Asie, Le Havre
calaureate Calculus exam or a maximum of a B in A-Level Further Mathematics may register for this course. The course is also open to students who completed a Baccalauréat L spé maths, ES and S, but who do not master the concepts covered by Calculus I (functions, limits and derivatives, differentiation rules, and integrals). Pedagogical format : Seminar Course validation : Students must obtain a ﬁnal grade of at least 10/20 to pass (2/3 continuous assessment, 1/3 ﬁnal exam) ; The continuous assessment grade consists in three tests (one for each chapter) ; The ﬁnal exam will cover the entire program. Course Description : Students of the Collège universitaire are required to follow a course in quantitative and mathematical methods during their ﬁrst year at Sciences Po. Students must choose one out of three different courses : 1) Introduction to Calculus with Algebra, 2) Statistics or 3) Calculus III. A fourth course is offered on the Euro-American campus in Reims : Calculus I. The goal of Calculus I is to prepare students for Calculus III and for upper-level quantitative courses in the social sciences. The course takes place during the fall semester (12 lectures of 2 hours each). This course is a standard college-level introductory course in calculus. The prerequisite for Calculus I is material covered in the Introduction to Calculus with Algebra course. Calculus I is intended for students who are interested in taking upper-level economics courses. For example, this course is a prerequisite for Columbia University's Intermediate Microeconomics and Intermediate Macroeconomics courses. Calculus I is also a prerequisite for Calculus III. Required reading : James Stewart, (2011) Calculus (Early Transcendentals), International Metric Edition, 7th Edition.
Prerequisite : This course is a standard collegelevel course in calculus. The prerequisite for Calculus III is material traditionally covered in Calculus I courses, including functions, limits and derivatives, differentiation rules, and integrals. Calculus III is intended for students who are interested in taking upper-level economics courses. For example, this course is a prerequisite for Columbia University's Intermediate Microeconomics and Econometrics courses. International students who have obtained a score of 5 on the Calculus BC Advanced Placement, or a score of 7 on the International Baccalaureate Calculus exam or an A in A-Level Further Mathematics may register for this course. Students who have obtained a score of 4 on the Calculus BC Advanced Placement exam, or a score of 5 on the Calculus AB Advanced Placement exam, or a 6 on the IB HL Calculus exam or a B on the A-Level Further Maths exam may also register for Calculus III. The course is also open to students who completed a Baccalauréat L spé maths, ES and S. Pedagogical format : Seminar Course validation : To validate the course, the student is expected to pass : 4 quizzes (30 %) + 1 midterm exam (30 %) + 1 ﬁnal exam (40 %). Course Description : The course covers three main themes : 1. Vectors and the Geometry of Space Three-Dimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Equations of Lines and Planes. Quadric Surfaces. Optional topic : Cylindrical and Spherical Coordinates. 2. Vector Functions Vector Functions and Space Curves. Derivatives and Integrals of Vector Functions. Motion in Space : Velocity and Acceleration. Optional topic : Arc Length and Curvature. 3. Partial Derivatives Functions of Several Variables. Limits and Continuity. Partial Derivatives. Tangent Planes and Differentials. The Chain Rule. Directional Derivatives and the Gradient Vector. Maximum and Minimum Values. Lagrange Multipliers. Required reading : James Stewart (2011), Calculus (Early Transcendentals), International Metric Edition, 7th edition.. 129
QUANTITATIVE AND MATHEMATICAL METHODS : CALCULUS III
Semester : Autumn Number of hours : 24 Language of tuition : English
Teachers : Christine LE FLOCH (Professeur agrégé).